31
Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave A, B and D are correct statements about standing waves. The distance between adjacent nodes is the half of the wavelength. 2. v= l .f Frequency depends on the wave source. It will not change as the wave crosses a boundary from a light spring to a heavy spring. Speed depends on the medium that the wave move. Speed and wavelength are directly proportional. As the wave crosses a boundary from light to heavy spring speed and wavelength decrease.

Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

  • Upload
    leminh

  • View
    261

  • Download
    4

Embed Size (px)

Citation preview

Page 1: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves Worksheet : Spring and Water Waves

1.

/2

nodeantinode

A standing wave

A, B and D are correct statements

about standing waves.

The distance between adjacent nodes is the

half of the wavelength.

2.

v=l.f

Frequency depends on the wave source. It will not change as the wave crosses a boundary from

a light spring to a heavy spring.

Speed depends on the medium that the wave move. Speed and wavelength are directly

proportional. As the wave crosses a boundary from light to heavy spring speed and

wavelength decrease.

Page 2: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

3. 4.

wavelengthperiod

amplitude

frequency

C

W

C

W

Frequency depends on the wave source. It will not change as the wave crosses a boundary

between two media.

All the other quantities; amplitude, wavelength and speed depend on the medium that the wave

moves.

source

energy

Worksheet : Spring and Water Waves

Page 3: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

5. 6.

C

W

“Y/2”W

quarter

/2

5λ2

=15 ⇒ λ=6 cm

f= 2,51,5

= 53

Hz

#

$

%%%

&

%%%

v=λ.f=6. 53

=10 cm/s

!

Worksheet : Spring and Water Waves

Page 4: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

7. 8.

λ1=4 units

λ2=2 units

λ3=8 units

"

#

$$$

%

$$$

⇒ λ3 > λ1 > λ2

Speeds of the waves are the same.Because they are moving through

the same medium.

v=λ.f then wavelength and frequency

are inversely proprotional.

f3<f1<f2

!

λ1=4 units

λ2=8 units

λ3=43

units

"

#

$$$$

%

$$$$

⇒ λ2 > λ1 > λ3

Frequency of the waves are the same

v=λ.f then wavelength and speedare directly proprotional.

λ2 > λ1 > λ3 ⇒ v 2>v1>v3

!

Worksheet : Spring and Water Waves

Page 5: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

9. 10.

f=8 Hz

3λ2

=6 cm ⇒ λ=4 cm

v=λ.f=4.8=32 cm/s

!

2

8. The periodic waves in the figures below have the same frequency.

Compare the speeds of the waves. 9. The waves shown in the figure is produced by a wave source whose frequency is 8 Hz.

What is the speed of the waves in cm/s? 10. The waves shown in the drawing are produced by the wave source in 5 seconds.

If the waves move at a speed of 40 cm/s, what is the distance between the first and the third crests?

11. Periodic waves are generated by a wave source and the waves travel at 60 cm/s in a coil spring. The displacement-time graph of a point on the spring is given below.

According to the information in the graph, find a) the period and frequency of the waves, b) the amplitude of the waves and c) the wavelength of the waves. 12. A periodic spring wave has a frequency 10 Hz. The distance between the first and the fifth crests is measured to be 8 cm. a) Calculate the wavelength in cm. b) What is the speed of the wave in m/s? 13. The appearances of two spring waves are given below. The symbols for the frequency (f), wavelength (λ), the force (F), the speed (v) and the mass per unit length (µ) are given as in the figure.

If you only know the appearances of the waves, which of the given quantities can be compared? a) v1 and v2 if f1=f2. b) f1 and f2 if v1=v2. c) f1 and f2 if µ1= µ2 and 4F1=F2. d) F1 and F2 if f1= f2 and µ1= 9µ2.

/2

2

8. The periodic waves in the figures below have the same frequency.

Compare the speeds of the waves. 9. The waves shown in the figure is produced by a wave source whose frequency is 8 Hz.

What is the speed of the waves in cm/s? 10. The waves shown in the drawing are produced by the wave source in 5 seconds.

If the waves move at a speed of 40 cm/s, what is the distance between the first and the third crests?

11. Periodic waves are generated by a wave source and the waves travel at 60 cm/s in a coil spring. The displacement-time graph of a point on the spring is given below.

According to the information in the graph, find a) the period and frequency of the waves, b) the amplitude of the waves and c) the wavelength of the waves. 12. A periodic spring wave has a frequency 10 Hz. The distance between the first and the fifth crests is measured to be 8 cm. a) Calculate the wavelength in cm. b) What is the speed of the wave in m/s? 13. The appearances of two spring waves are given below. The symbols for the frequency (f), wavelength (λ), the force (F), the speed (v) and the mass per unit length (µ) are given as in the figure.

If you only know the appearances of the waves, which of the given quantities can be compared? a) v1 and v2 if f1=f2. b) f1 and f2 if v1=v2. c) f1 and f2 if µ1= µ2 and 4F1=F2. d) F1 and F2 if f1= f2 and µ1= 9µ2.

2

f= 2,55

= 12

Hz

λ= vf

= 400,5

=80 cm ⇒ 2λ=160 cm

!

Worksheet : Spring and Water Waves

Page 6: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

11. 12.

a) T=0,05 s ⇒ f= 1T

= 10,05

=20 Hz

b) A=0,01 m

c) v=λ.f ⇒ λ= vf

=6020

=3 cm

!

4 =8 cm

a) 4λ=8 cm ⇒ λ=2 cm

b) v=λ.f=2.10=20 cm/s!

Worksheet : Spring and Water Waves

Page 7: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

13.From the figure;3λ1

2= λ2 ⇒

λ1

λ2

=23

a) f1 = f2 ⇒v1

v 2

=λ1

λ2

=23

b) v1 = v 2 ⇒f1

f2

=λ2

λ1

=32

c)

v1 =Fµ

v 2 =4Fµ

⎪⎪⎪

⎪⎪⎪

⇒v1

v 2

=12

v1

v 2

=λ1.f1

λ2.f2

⇒f1

f2

=34

d) f1 = f2

v1

v 2

=λ1

λ2

=23

v1 =F1

v 2 =F2

µ

⎪⎪⎪

⎪⎪⎪

⇒F1

9F2

=23

F1

F2

= 4

2

9. The waves shown in the figure is produced by a wave source whose frequency is 8 Hz.

What is the speed of the waves in cm/s? 10. The waves shown in the drawing are produced by the wave source in 5 seconds.

If the waves move at a speed of 40 cm/s, what is the distance between the first and the third crests? 11. Periodic waves are generated by a wave source and the waves travel at 60 cm/s in a coil spring. The displacement-time graph of a point on the spring is given below.

According to the information in the graph, find a) the period and frequency of the waves, b) the amplitude of the waves and c) the wavelength of the waves. 12. A periodic spring wave has a frequency 10 Hz. The distance between the first and the fifth crests is measured to be 8 cm. a) Calculate the wavelength in cm. b) What is the speed of the wave in m/s?

13. The appearances of two spring waves are given below. The symbols for the frequency (f), wavelength (λ), the force (F), the speed (v) and the mass per unit length (µ) are given as in the figure.

If you only know the appearances of the waves, which of the given quantities can be compared? a) v1 and v2 if f1=f2. b) f1 and f2 if v1=v2. c) f1 and f2 if µ1= µ2 and 4F1=F2. d) F1 and F2 if f1= f2 and µ1= 9µ2. 14. A transverse wave moves along +x direction. It is found to have a horizontal distance of 4 cm from a trough to the nearest crest, a frequency of 12 Hz and a vertical distance of 5 cm from a crest to the nearest trough. Determine a) the amplitude, b) the period, c) the wavelength and d) speed of the wave.

Worksheet : Spring and Water Waves

Page 8: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

14. 15.

3

14. A transverse wave moves along +x direction. It is found to have a horizontal distance of 4 cm from a trough to the nearest crest, a frequency of 12 Hz and a vertical distance of 5 cm from a crest to the nearest trough. Determine a) the amplitude, b) the period, c) the wavelength and d) speed of the wave. 15. Direction of oscillation of a point on a pulse is given in the following figure.

In which direction is the pulse propagating? 16. The pulse given below is moving left.

At the instant shown in the drawing, what are the directions of oscillation of the points A, B and C? 17. At the instant shown in the drawing point A is moving toward the equilibrium position.

Determine a) the direction of propagation of the pulse and b) the directions of oscillations of the points B

and C.

18. The directions of oscillations of points A, B and C on the pulses X, Y and Z are given in the following figure.

Determine the directions of propagations of the pulses X, Y and Z. 19. A pulse is traveling toward right is given in the following figure.

Which point(s) (K, L, M or N) displace(s) upward at the instant shown in the drawing? 20. The pulses, A and B, propagate along the same medium.

Compare the speeds and the energies of the pulses.

3

14. A transverse wave moves along +x direction. It is found to have a horizontal distance of 4 cm from a trough to the nearest crest, a frequency of 12 Hz and a vertical distance of 5 cm from a crest to the nearest trough. Determine a) the amplitude, b) the period, c) the wavelength and d) speed of the wave. 15. Direction of oscillation of a point on a pulse is given in the following figure.

In which direction is the pulse propagating? 16. The pulse given below is moving left.

At the instant shown in the drawing, what are the directions of oscillation of the points A, B and C? 17. At the instant shown in the drawing point A is moving toward the equilibrium position.

Determine a) the direction of propagation of the pulse and b) the directions of oscillations of the points B

and C.

18. The directions of oscillations of points A, B and C on the pulses X, Y and Z are given in the following figure.

Determine the directions of propagations of the pulses X, Y and Z. 19. A pulse is traveling toward right is given in the following figure.

Which point(s) (K, L, M or N) displace(s) upward at the instant shown in the drawing? 20. The pulses, A and B, propagate along the same medium.

Compare the speeds and the energies of the pulses.

2A=5 cm

/2=4 cm

a) A=2,5 cm b) T= 112

s

c) λ=8 cm d) v=8.12=96 cm/s!

after a short time

pulse is moving toward right

Worksheet : Spring and Water Waves

Page 9: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

16. 17.

3

14. A transverse wave moves along +x direction. It is found to have a horizontal distance of 4 cm from a trough to the nearest crest, a frequency of 12 Hz and a vertical distance of 5 cm from a crest to the nearest trough. Determine a) the amplitude, b) the period, c) the wavelength and d) speed of the wave. 15. Direction of oscillation of a point on a pulse is given in the following figure.

In which direction is the pulse propagating? 16. The pulse given below is moving left.

At the instant shown in the drawing, what are the directions of oscillation of the points A, B and C? 17. At the instant shown in the drawing point A is moving toward the equilibrium position.

Determine a) the direction of propagation of the pulse and b) the directions of oscillations of the points B

and C.

18. The directions of oscillations of points A, B and C on the pulses X, Y and Z are given in the following figure.

Determine the directions of propagations of the pulses X, Y and Z. 19. A pulse is traveling toward right is given in the following figure.

Which point(s) (K, L, M or N) displace(s) upward at the instant shown in the drawing? 20. The pulses, A and B, propagate along the same medium.

Compare the speeds and the energies of the pulses.

3

14. A transverse wave moves along +x direction. It is found to have a horizontal distance of 4 cm from a trough to the nearest crest, a frequency of 12 Hz and a vertical distance of 5 cm from a crest to the nearest trough. Determine a) the amplitude, b) the period, c) the wavelength and d) speed of the wave. 15. Direction of oscillation of a point on a pulse is given in the following figure.

In which direction is the pulse propagating? 16. The pulse given below is moving left.

At the instant shown in the drawing, what are the directions of oscillation of the points A, B and C? 17. At the instant shown in the drawing point A is moving toward the equilibrium position.

Determine a) the direction of propagation of the pulse and b) the directions of oscillations of the points B

and C.

18. The directions of oscillations of points A, B and C on the pulses X, Y and Z are given in the following figure.

Determine the directions of propagations of the pulses X, Y and Z. 19. A pulse is traveling toward right is given in the following figure.

Which point(s) (K, L, M or N) displace(s) upward at the instant shown in the drawing? 20. The pulses, A and B, propagate along the same medium.

Compare the speeds and the energies of the pulses.

C B

A

after a short time

A

B C

after a short time

a) pulse is moving toward right

b) B:down; C:up

Worksheet : Spring and Water Waves

Page 10: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

18. 19.

3

14. A transverse wave moves along +x direction. It is found to have a horizontal distance of 4 cm from a trough to the nearest crest, a frequency of 12 Hz and a vertical distance of 5 cm from a crest to the nearest trough. Determine a) the amplitude, b) the period, c) the wavelength and d) speed of the wave. 15. Direction of oscillation of a point on a pulse is given in the following figure.

In which direction is the pulse propagating? 16. The pulse given below is moving left.

At the instant shown in the drawing, what are the directions of oscillation of the points A, B and C? 17. At the instant shown in the drawing point A is moving toward the equilibrium position.

Determine a) the direction of propagation of the pulse and b) the directions of oscillations of the points B

and C.

18. The directions of oscillations of points A, B and C on the pulses X, Y and Z are given in the following figure.

Determine the directions of propagations of the pulses X, Y and Z. 19. A pulse is traveling toward right is given in the following figure.

Which point(s) (K, L, M or N) displace(s) upward at the instant shown in the drawing? 20. The pulses, A and B, propagate along the same medium.

Compare the speeds and the energies of the pulses.

3

14. A transverse wave moves along +x direction. It is found to have a horizontal distance of 4 cm from a trough to the nearest crest, a frequency of 12 Hz and a vertical distance of 5 cm from a crest to the nearest trough. Determine a) the amplitude, b) the period, c) the wavelength and d) speed of the wave. 15. Direction of oscillation of a point on a pulse is given in the following figure.

In which direction is the pulse propagating? 16. The pulse given below is moving left.

At the instant shown in the drawing, what are the directions of oscillation of the points A, B and C? 17. At the instant shown in the drawing point A is moving toward the equilibrium position.

Determine a) the direction of propagation of the pulse and b) the directions of oscillations of the points B

and C.

18. The directions of oscillations of points A, B and C on the pulses X, Y and Z are given in the following figure.

Determine the directions of propagations of the pulses X, Y and Z. 19. A pulse is traveling toward right is given in the following figure.

Which point(s) (K, L, M or N) displace(s) upward at the instant shown in the drawing? 20. The pulses, A and B, propagate along the same medium.

Compare the speeds and the energies of the pulses.

X is moving toward right; Y and Z move toward left.

K P

M L

M and P displace upward at the instant shown inn the figure.

Worksheet : Spring and Water Waves

P

Page 11: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

20. 21.

3

14. A transverse wave moves along +x direction. It is found to have a horizontal distance of 4 cm from a trough to the nearest crest, a frequency of 12 Hz and a vertical distance of 5 cm from a crest to the nearest trough. Determine a) the amplitude, b) the period, c) the wavelength and d) speed of the wave. 15. Direction of oscillation of a point on a pulse is given in the following figure.

In which direction is the pulse propagating? 16. The pulse given below is moving left.

At the instant shown in the drawing, what are the directions of oscillation of the points A, B and C? 17. At the instant shown in the drawing point A is moving toward the equilibrium position.

Determine a) the direction of propagation of the pulse and b) the directions of oscillations of the points B

and C.

18. The directions of oscillations of points A, B and C on the pulses X, Y and Z are given in the following figure.

Determine the directions of propagations of the pulses X, Y and Z. 19. A pulse is traveling toward right is given in the following figure.

Which point(s) (K, L, M or N) displace(s) upward at the instant shown in the drawing? 20. The pulses, A and B, propagate along the same medium.

Compare the speeds and the energies of the pulses.

4

21. Wires K and L are made of the same material. The cross-sectional radius of wire K is twice the cross-sectional radius of wire L. Both wires are stretched by the same force and pulses are formed on the wires. Compare the speeds of the pulses on the wires K and L. 22. Two springs, A and B, have equal mass and are connected to form a composite spring. A pulse travels on spring A at 2 m/s and after passing through the junction; it travels on spring B at 1 m/s. What is the ratio of the length of wire A (LA) to the length of wire B (LB)? 23. The appearance of a pulse at t=0 is given. The speed of the pulse is 1 square/second.

What would be the appearance of the pulse after 20 seconds?

24. A pulse that is traveling along a coil spring is given in the following figure.

Draw the appearance of the resultant pulse when point M is on the fixed end. 25. The position of two pulses at t=0 is given below. They move at 1 square/second.

After how many seconds will two pulses a) reinforce b) cancel each other momentarily for the first

time? 26. A pulse that is traveling along a coil spring is given in the following figure.

Draw the appearance of the pulse after it is reflected completely from the free end.

The energy carried by a wave is directly proportional to the square of the amplitude. So, pulse A has greater

energy.

The speed of a pulse depends on the medium it propagate. So A and B have

the same speed.

Wires are made of the same material.

dK = dL ⇒mK

mL

=VK

VL

mK

mL

=π.(2r)2.LK

π.(r)2.LL

mK

LK

mL

LL

=µK

µL

= 4

vK

vL

=

FµK

FµL

⇒vK

vL

=12

Worksheet : Spring and Water Waves

Page 12: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

22. 23.

4

21. Wires K and L are made of the same material. The cross-sectional radius of wire K is twice the cross-sectional radius of wire L. Both wires are stretched by the same force and pulses are formed on the wires. Compare the speeds of the pulses on the wires K and L. 22. Two springs, A and B, have equal mass and are connected to form a composite spring. A pulse travels on spring A at 2 m/s and after passing through the junction; it travels on spring B at 1 m/s. What is the ratio of the length of wire A (LA) to the length of wire B (LB)? 23. The appearance of a pulse at t=0 is given. The speed of the pulse is 1 square/second.

What would be the appearance of the pulse after 20 seconds?

24. A pulse that is traveling along a coil spring is given in the following figure.

Draw the appearance of the resultant pulse when point M is on the fixed end. 25. The position of two pulses at t=0 is given below. They move at 1 square/second.

After how many seconds will two pulses a) reinforce b) cancel each other momentarily for the first

time? 26. A pulse that is traveling along a coil spring is given in the following figure.

Draw the appearance of the pulse after it is reflected completely from the free end.

4

21. Wires K and L are made of the same material. The cross-sectional radius of wire K is twice the cross-sectional radius of wire L. Both wires are stretched by the same force and pulses are formed on the wires. Compare the speeds of the pulses on the wires K and L. 22. Two springs, A and B, have equal mass and are connected to form a composite spring. A pulse travels on spring A at 2 m/s and after passing through the junction; it travels on spring B at 1 m/s. What is the ratio of the length of wire A (LA) to the length of wire B (LB)? 23. The appearance of a pulse at t=0 is given. The speed of the pulse is 1 square/second.

What would be the appearance of the pulse after 20 seconds?

24. A pulse that is traveling along a coil spring is given in the following figure.

Draw the appearance of the resultant pulse when point M is on the fixed end. 25. The position of two pulses at t=0 is given below. They move at 1 square/second.

After how many seconds will two pulses a) reinforce b) cancel each other momentarily for the first

time? 26. A pulse that is traveling along a coil spring is given in the following figure.

Draw the appearance of the pulse after it is reflected completely from the free end.

Solids transmit the force. So, the forces

that stretch both springsare the same.

v A = F.L A

m

v B = F.L B

m

!

"##

$##

⇒v A

v B

= L A

L B

L A

L B

= 4

!

4

22. Two springs, A and B, have equal mass and are connected to form a composite spring. A pulse travels on spring A at 2 m/s and after passing through the junction; it travels on spring B at 1 m/s. What is the ratio of the length of wire A (LA) to the length of wire B (LB)? 23. The appearance of a pulse at t=0 is given. The speed of the pulse is 1 square/second.

What would be the appearance of the pulse after 20 seconds? 24. A pulse that is traveling along a coil spring is given in the following figure.

Draw the appearance of the resultant pulse when point M is on the fixed end.

25. The position of two pulses at t=0 is given below. They move at 1 square/second.

After how many seconds will two pulses a) reinforce b) cancel each other momentarily for the first

time? 26. A pulse that is traveling along a coil spring is given in the following figure.

Draw the appearance of the pulse after it is reflected completely from the free end. 27. The direction of oscillation of a point on a pulse traveling on a coil spring is given in the following figure. The speed of the pulse is 1 square/second.

Draw the appearance of the pulse after 8 s.

The appearance of the pulse at t=20 s.

Worksheet : Spring and Water Waves

Page 13: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

24. 25.

4

22. Two springs, A and B, have equal mass and are connected to form a composite spring. A pulse travels on spring A at 2 m/s and after passing through the junction; it travels on spring B at 1 m/s. What is the ratio of the length of wire A (LA) to the length of wire B (LB)? 23. The appearance of a pulse at t=0 is given. The speed of the pulse is 1 square/second.

What would be the appearance of the pulse after 20 seconds? 24. A pulse that is traveling along a coil spring is given in the following figure.

Draw the appearance of the resultant pulse when point M is on the fixed end.

25. The position of two pulses at t=0 is given below. They move at 1 square/second.

After how many seconds will two pulses a) reinforce b) cancel each other momentarily for the first

time? 26. A pulse that is traveling along a coil spring is given in the following figure.

Draw the appearance of the pulse after it is reflected completely from the free end. 27. The direction of oscillation of a point on a pulse traveling on a coil spring is given in the following figure. The speed of the pulse is 1 square/second.

Draw the appearance of the pulse after 8 s.

FixedendM

4

22. Two springs, A and B, have equal mass and are connected to form a composite spring. A pulse travels on spring A at 2 m/s and after passing through the junction; it travels on spring B at 1 m/s. What is the ratio of the length of wire A (LA) to the length of wire B (LB)? 23. The appearance of a pulse at t=0 is given. The speed of the pulse is 1 square/second.

What would be the appearance of the pulse after 20 seconds? 24. A pulse that is traveling along a coil spring is given in the following figure.

Draw the appearance of the resultant pulse when point M is on the fixed end.

25. The position of two pulses at t=0 is given below. They move at 1 square/second.

After how many seconds will two pulses a) reinforce b) cancel each other momentarily for the first

time? 26. A pulse that is traveling along a coil spring is given in the following figure.

Draw the appearance of the pulse after it is reflected completely from the free end. 27. The direction of oscillation of a point on a pulse traveling on a coil spring is given in the following figure. The speed of the pulse is 1 square/second.

Draw the appearance of the pulse after 8 s.

a) After 4 s pulses reinforce each other.

b) After 13 s pulses cancel each other.

Worksheet : Spring and Water Waves

Page 14: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

26. 27.

! 4

21. Wires K and L are made of the same material. The cross-sectional radius of wire K is twice the cross-sectional radius of wire L. Both wires are stretched by the same force and pulses are formed on the wires. Compare the speeds of the pulses on the wires K and L. 22. Two springs, A and B, have equal mass and are connected to form a composite spring. A pulse travels on spring A at 2 m/s and after passing through the junction; it travels on spring B at 1 m/s. What is the ratio of the length of wire A (LA) to the length of wire B (LB)? 23. The appearance of a pulse at t=0 is given. The speed of the pulse is 1 square/second.

What would be the appearance of the pulse after 20 seconds?

24. A pulse that is traveling along a coil spring is given in the following figure.

Draw the appearance of the resultant pulse when point M is on the fixed end. 25. The position of two pulses at t=0 is given below. They move at 1 square/second.

After how many seconds will two pulses a) reinforce b) cancel each other momentarily for the first

time? 26. A pulse that is traveling along a coil spring is given in the following figure.

Draw the appearance of the pulse after it is reflected completely from the free end.

! 5

27. The direction of oscillation of a point on a pulse traveling on a coil spring is given in the following figure. The speed of the pulse is 1 square/second.

Draw the appearance of the pulse after 8 s.

28. The position of two pulses at t=0 is given below. They move at 2 square/second.

After how many seconds will two pulses cancel each other momentarily for the first time? 29. A pulse traveling along a coil spring is given in the following figure. The speed of propagation of the pulse is 1 square/second.

What is the minimum time for the pulse to go from position I to position II?

30. Two pulses created on a computer screen are approaching toward each other as shown in the figure.

Draw the shape of the resultant pulse when point A and B meet. 31. Two pulses are approaching toward each other as shown in the figure.

Draw the shape of the resultant pulse when point A and B meet. 32. Two idealized pulses are moving produced on a computer screen at 20 m/s as shown in the figure below.

How will roughly the pulses look 0,4 s later? (Distances given in the figure are in meters.)

Worksheet : Spring and Water Waves

Page 15: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

28. 29.

! 5

27. The direction of oscillation of a point on a pulse traveling on a coil spring is given in the following figure. The speed of the pulse is 1 square/second.

Draw the appearance of the pulse after 8 s.

28. The position of two pulses at t=0 is given below. They move at 2 square/second.

After how many seconds will two pulses cancel each other momentarily for the first time? 29. A pulse traveling along a coil spring is given in the following figure. The speed of propagation of the pulse is 1 square/second.

What is the minimum time for the pulse to go from position I to position II?

30. Two pulses created on a computer screen are approaching toward each other as shown in the figure.

Draw the shape of the resultant pulse when point A and B meet. 31. Two pulses are approaching toward each other as shown in the figure.

Draw the shape of the resultant pulse when point A and B meet. 32. Two idealized pulses are moving produced on a computer screen at 20 m/s as shown in the figure below.

How will roughly the pulses look 0,4 s later? (Distances given in the figure are in meters.)

! 5

27. The direction of oscillation of a point on a pulse traveling on a coil spring is given in the following figure. The speed of the pulse is 1 square/second.

Draw the appearance of the pulse after 8 s.

28. The position of two pulses at t=0 is given below. They move at 2 square/second.

After how many seconds will two pulses cancel each other momentarily for the first time? 29. A pulse traveling along a coil spring is given in the following figure. The speed of propagation of the pulse is 1 square/second.

What is the minimum time for the pulse to go from position I to position II?

30. Two pulses created on a computer screen are approaching toward each other as shown in the figure.

Draw the shape of the resultant pulse when point A and B meet. 31. Two pulses are approaching toward each other as shown in the figure.

Draw the shape of the resultant pulse when point A and B meet. 32. Two idealized pulses are moving produced on a computer screen at 20 m/s as shown in the figure below.

How will roughly the pulses look 0,4 s later? (Distances given in the figure are in meters.)

After 6s pulses cancel each other.

Worksheet : Spring and Water Waves

It will reach position II at 20 s.

Page 16: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

30. 31.

! 5

27. The direction of oscillation of a point on a pulse traveling on a coil spring is given in the following figure. The speed of the pulse is 1 square/second.

Draw the appearance of the pulse after 8 s.

28. The position of two pulses at t=0 is given below. They move at 2 square/second.

After how many seconds will two pulses cancel each other momentarily for the first time? 29. A pulse traveling along a coil spring is given in the following figure. The speed of propagation of the pulse is 1 square/second.

What is the minimum time for the pulse to go from position I to position II?

30. Two pulses created on a computer screen are approaching toward each other as shown in the figure.

Draw the shape of the resultant pulse when point A and B meet. 31. Two pulses are approaching toward each other as shown in the figure.

Draw the shape of the resultant pulse when point A and B meet. 32. Two idealized pulses are moving produced on a computer screen at 20 m/s as shown in the figure below.

How will roughly the pulses look 0,4 s later? (Distances given in the figure are in meters.)

! 5

27. The direction of oscillation of a point on a pulse traveling on a coil spring is given in the following figure. The speed of the pulse is 1 square/second.

Draw the appearance of the pulse after 8 s.

28. The position of two pulses at t=0 is given below. They move at 2 square/second.

After how many seconds will two pulses cancel each other momentarily for the first time? 29. A pulse traveling along a coil spring is given in the following figure. The speed of propagation of the pulse is 1 square/second.

What is the minimum time for the pulse to go from position I to position II?

30. Two pulses created on a computer screen are approaching toward each other as shown in the figure.

Draw the shape of the resultant pulse when point A and B meet. 31. Two pulses are approaching toward each other as shown in the figure.

Draw the shape of the resultant pulse when point A and B meet. 32. Two idealized pulses are moving produced on a computer screen at 20 m/s as shown in the figure below.

How will roughly the pulses look 0,4 s later? (Distances given in the figure are in meters.)

Worksheet : Spring and Water Waves

Page 17: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

32. 33.Worksheet : Spring and Water Waves

! 5

27. The direction of oscillation of a point on a pulse traveling on a coil spring is given in the following figure. The speed of the pulse is 1 square/second.

Draw the appearance of the pulse after 8 s.

28. The position of two pulses at t=0 is given below. They move at 2 square/second.

After how many seconds will two pulses cancel each other momentarily for the first time? 29. A pulse traveling along a coil spring is given in the following figure. The speed of propagation of the pulse is 1 square/second.

What is the minimum time for the pulse to go from position I to position II?

30. Two pulses created on a computer screen are approaching toward each other as shown in the figure.

Draw the shape of the resultant pulse when point A and B meet. 31. Two pulses are approaching toward each other as shown in the figure.

Draw the shape of the resultant pulse when point A and B meet. 32. Two idealized pulses are moving produced on a computer screen at 20 m/s as shown in the figure below.

How will roughly the pulses look 0,4 s later? (Distances given in the figure are in meters.)

! 6

33. A light and a heavy spring are connected at point O. A pulse is created on light spring. The appearances of the incident pulse and the pulses traveling through light and heavy spring are given in the following figures.

Calculate the ratio of the speed of the pulse in light spring to the speed of the pulse in heavy spring. 34. The appearances of the composite springs are given in following figures.

Calculate the ratio of the speed of the pulse in light spring to the speed of the pulse in heavy spring by using the information supplied in the figures.

35. Two springs A and B are connected at point X. An incident pulse generated on spring A. After the incident pulse reaches point X, the appearances of transmitted and reflected pulses are given in the following figure.

a) Which pulse, K or L, is the transmitted pulse? b) Which spring, A or B, is heavier? c) Which pulse, K or L, is faster? d) Is the incident pulse a crest or a trough? 36. A pulse is moving toward right at a speed of 1 m/s and its position at t=0 is given in the following figure.

Draw displacement-time graph of the point A in a time interval t=0 to t=11 s.

The distance covered by the pulses in 0,4 s is “20.0,4=8 m”.

After the incident pulse reaches point O, two pulses (transmitted through heavy spring and reflected through light spring) move toward left and right. They are reflected by the fixed ends. So reflected pulse covers 10 units and the transmitted pulse covers 6 units until they appear as given in the figure at t2=t. As a result; “vlight/vheavy=5/3”.

Page 18: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

34. 35.Worksheet : Spring and Water Waves

! 6

33. A light and a heavy spring are connected at point O. A pulse is created on light spring. The appearances of the incident pulse and the pulses traveling through light and heavy spring are given in the following figures.

Calculate the ratio of the speed of the pulse in light spring to the speed of the pulse in heavy spring. 34. The appearances of the composite springs are given in following figures.

Calculate the ratio of the speed of the pulse in light spring to the speed of the pulse in heavy spring by using the information supplied in the figures.

35. Two springs A and B are connected at point X. An incident pulse generated on spring A. After the incident pulse reaches point X, the appearances of transmitted and reflected pulses are given in the following figure.

a) Which pulse, K or L, is the transmitted pulse? b) Which spring, A or B, is heavier? c) Which pulse, K or L, is faster? d) Is the incident pulse a crest or a trough? 36. A pulse is moving toward right at a speed of 1 m/s and its position at t=0 is given in the following figure.

Draw displacement-time graph of the point A in a time interval t=0 to t=11 s.

For the pulse moving through heavy spring covers 80 cm in 10 s. So its speed is “80/10=8 cm/s”.

After the incident pulse reaches point O, the reflected pulse moves 20 cm and transmitted pulse

moves 50 cm. So, “vheavy/vlight=2/5”.

The speed of the pulse through heavy spring is 20 cm/s

6

33. A light and a heavy spring are connected at point O. A pulse is created on light spring. The appearances of the incident pulse and the pulses traveling through light and heavy spring are given in the following figures.

Calculate the ratio of the speed of the pulse in light spring to the speed of the pulse in heavy spring. 34. The appearances of the composite springs are given in following figures.

Calculate the speeds of the pulses in light and heavy springs by using the information supplied in the figures.

35. Two springs A and B are connected at point X. An incident pulse generated on spring A. After the incident pulse reaches point X, the appearances of transmitted and reflected pulses are given in the following figure.

a) Which pulse, K or L, is the transmitted pulse? b) Which spring, A or B, is heavier? c) Which pulse, K or L, is faster? d) Is the incident pulse a crest or a trough? 36. A pulse is moving toward right at a speed of 1 m/s and its position at t=0 is given in the following figure.

Draw displacement-time graph of the point A in a time interval t=0 to t=11 s.

a) If the incident pulse is on spring A, then K is reflected pulse and L is the transmitted pulse.

b) Incident pulse must be inverted because transmitted pulse is inverted. After reflection,

reflected pulse is upright. This means spring B is heavier.

c) Pulse K is faster. Because it is moving through light spring.

d)Incident pulse is a trough.

Page 19: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

36. 37.Worksheet : Spring and Water Waves

! 6

33. A light and a heavy spring are connected at point O. A pulse is created on light spring. The appearances of the incident pulse and the pulses traveling through light and heavy spring are given in the following figures.

Calculate the ratio of the speed of the pulse in light spring to the speed of the pulse in heavy spring. 34. The appearances of the composite springs are given in following figures.

Calculate the ratio of the speed of the pulse in light spring to the speed of the pulse in heavy spring by using the information supplied in the figures.

35. Two springs A and B are connected at point X. An incident pulse generated on spring A. After the incident pulse reaches point X, the appearances of transmitted and reflected pulses are given in the following figure.

a) Which pulse, K or L, is the transmitted pulse? b) Which spring, A or B, is heavier? c) Which pulse, K or L, is faster? d) Is the incident pulse a crest or a trough? 36. A pulse is moving toward right at a speed of 1 m/s and its position at t=0 is given in the following figure.

Draw displacement-time graph of the point A in a time interval t=0 to t=11 s.

! 7

37. The springs X and Y is connected to each other somewhere between points K and L. A pulse is produced in one of the springs. The appearance of the springs after the incident pulse reaches the junction is shown in the figure.

a) Which pulse, A or B, is the transmitted pulse? b) Which spring, X or Y, is heavier? c) Which pulse, A or B, is faster? 38. A loudspeaker emits sound of frequency "f". The sound waves are reflected from a wall. The arrangement is shown below.

When a microphone is moved along the line SW, minimum loudness of sound is detected at points P, Q and R. There are no other nodes between these points. The separation between the nodes is "d". What is the speed of the sound in terms of "d" and "f"?

39. A wire is fixed from both ends. The length of the wire is 60 cm. The wire is vibrated so that fifth harmonic is obtained. What is the wavelength of the waves produced on the wire? 40. A wire is stretched by a force "F" and the fundamental of a wire occurs at f0=30 Hz. If the same wire is stretched by the force "4F", at what frequency the third harmonic is obtained? 41. Which of the following waves have both longitudinal and transverse properties? A) Light B) Water waves C) P type seismic waves D) S type seismic waves E) Sound waves 42. A straight pulse moves toward a straight barrier as shown in the drawing.

Draw the shape of the pulse at the moment point B hits the barrier.

Connection point is somewhere between K and L. Pulse A moves less than B. So, spring Y is lighter

than X.

b)Spring X is heavier.

a) Pulse A is transmitted pulse. After reflection pulse B is inverted.

c) B is faster because it moves through light spring.

Page 20: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

38. 39.Worksheet : Spring and Water Waves

! 7

37. The springs X and Y is connected to each other somewhere between points K and L. A pulse is produced in one of the springs. The appearance of the springs after the incident pulse reaches the junction is shown in the figure.

a) Which pulse, A or B, is the transmitted pulse? b) Which spring, X or Y, is heavier? c) Which pulse, A or B, is faster? 38. A loudspeaker emits sound of frequency "f". The sound waves are reflected from a wall. The arrangement is shown below.

When a microphone is moved along the line SW, minimum loudness of sound is detected at points P, Q and R. There are no other nodes between these points. The separation between the nodes is "d". What is the speed of the sound in terms of "d" and "f"?

39. A wire is fixed from both ends. The length of the wire is 60 cm. The wire is vibrated so that fifth harmonic is obtained. What is the wavelength of the waves produced on the wire? 40. A wire is stretched by a force "F" and the fundamental of a wire occurs at f0=30 Hz. If the same wire is stretched by the force "4F", at what frequency the third harmonic is obtained? 41. Which of the following waves have both longitudinal and transverse properties? A) Light B) Water waves C) P type seismic waves D) S type seismic waves E) Sound waves 42. A straight pulse moves toward a straight barrier as shown in the drawing.

Draw the shape of the pulse at the moment point B hits the barrier.

! 7

37. The springs X and Y is connected to each other somewhere between points K and L. A pulse is produced in one of the springs. The appearance of the springs after the incident pulse reaches the junction is shown in the figure.

a) Which pulse, A or B, is the transmitted pulse? b) Which spring, X or Y, is heavier? c) Which pulse, A or B, is faster? 38. A loudspeaker emits sound of frequency "f". The sound waves are reflected from a wall. The arrangement is shown below.

When a microphone is moved along the line SW, minimum loudness of sound is detected at points P, Q and R. There are no other nodes between these points. The separation between the nodes is "d". What is the speed of the sound in terms of "d" and "f"?

39. A wire is fixed from both ends. The length of the wire is 60 cm. The wire is vibrated so that fifth harmonic is obtained. What is the wavelength of the waves produced on the wire? 40. A wire is stretched by a force "F" and the fundamental of a wire occurs at f0=30 Hz. If the same wire is stretched by the force "4F", at what frequency the third harmonic is obtained? 41. Which of the following waves have both longitudinal and transverse properties? A) Light B) Water waves C) P type seismic waves D) S type seismic waves E) Sound waves 42. A straight pulse moves toward a straight barrier as shown in the drawing.

Draw the shape of the pulse at the moment point B hits the barrier.

Wavelength is “2d”.

The speed of the sound is v=2df

L =60 cm5λ2

=L ⇒λ =2L5

λ =2.60

5= 24 cm

/2

Fifth harmonic

Page 21: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

40. 41.Worksheet : Spring and Water Waves

! 7

37. The springs X and Y is connected to each other somewhere between points K and L. A pulse is produced in one of the springs. The appearance of the springs after the incident pulse reaches the junction is shown in the figure.

a) Which pulse, A or B, is the transmitted pulse? b) Which spring, X or Y, is heavier? c) Which pulse, A or B, is faster? 38. A loudspeaker emits sound of frequency "f". The sound waves are reflected from a wall. The arrangement is shown below.

When a microphone is moved along the line SW, minimum loudness of sound is detected at points P, Q and R. There are no other nodes between these points. The separation between the nodes is "d". What is the speed of the sound in terms of "d" and "f"?

39. A wire is fixed from both ends. The length of the wire is 60 cm. The wire is vibrated so that fifth harmonic is obtained. What is the wavelength of the waves produced on the wire? 40. A wire is stretched by a force "F" and the fundamental of a wire occurs at f0=30 Hz. If the same wire is stretched by the force "4F", at what frequency the third harmonic is obtained? 41. Which of the following waves have both longitudinal and transverse properties? A) Light B) Water waves C) P type seismic waves D) S type seismic waves E) Sound waves 42. A straight pulse moves toward a straight barrier as shown in the drawing.

Draw the shape of the pulse at the moment point B hits the barrier.

7

37. The springs X and Y is connected to each other somewhere between points K and L. A pulse is produced in one of the springs. The appearance of the springs after the incident pulse reaches the junction is shown in the figure.

a) Which pulse, A or B, is the transmitted pulse? b) Which spring, X or Y, is heavier? c) Which pulse, A or B, is faster? 38. A loudspeaker emits sound of frequency "f". The sound waves are reflected from a wall. The arrangement is shown below.

When a microphone is moved along the line SW, minimum loudness of sound is detected at points P, Q and R. There are no other nodes between these points. The separation between the nodes is "d". What is the speed of the sound in terms of "d" and "f"?

39. A wire is fixed from both ends. The length of the wire is 60 cm. The wire is vibrated so that fifth harmonic is obtained. What is the wavelength of the waves produced on the wire? 40. A wire is stretched by a force "F" and the fundamental of a wire occurs at 30 Hz. If the same wire is stretched by the force "4F", at what frequency the third harmonic is obtained? 41. Which of the following waves have both longitudinal and transverse properties? A) Light B) Water waves C) P type seismic waves D) S type seismic waves E) Sound waves 42. A straight pulse moves toward a straight barrier as shown in the drawing.

Draw the shape of the pulse at the moment point B hits the barrier.

Let 's call the length of the wire as "L".Fundamental means one antinode isobserved.λ1 = 2L (Wavelength of the fundamental.)

v1 =Fµ= v ⇒ v = λ1.f1

v = 2L.30 =60.L

λ2 =2L3

v2 =4Fµ

⇒ v2 = 2v

2v = 2L3

.f2 ⇒ f2 =3vL

f2 =3vL

=3.60L

L= 180 Hz

It is an electromagnetic

wave, it is a transverse wave.

Both transverse and longitudinal

wave.Longitudinal wave.

Transverse wave.

Longitudinal wave.

Page 22: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

42. 43.Worksheet : Spring and Water Waves

! 7

37. The springs X and Y is connected to each other somewhere between points K and L. A pulse is produced in one of the springs. The appearance of the springs after the incident pulse reaches the junction is shown in the figure.

a) Which pulse, A or B, is the transmitted pulse? b) Which spring, X or Y, is heavier? c) Which pulse, A or B, is faster? 38. A loudspeaker emits sound of frequency "f". The sound waves are reflected from a wall. The arrangement is shown below.

When a microphone is moved along the line SW, minimum loudness of sound is detected at points P, Q and R. There are no other nodes between these points. The separation between the nodes is "d". What is the speed of the sound in terms of "d" and "f"?

39. A wire is fixed from both ends. The length of the wire is 60 cm. The wire is vibrated so that fifth harmonic is obtained. What is the wavelength of the waves produced on the wire? 40. A wire is stretched by a force "F" and the fundamental of a wire occurs at f0=30 Hz. If the same wire is stretched by the force "4F", at what frequency the third harmonic is obtained? 41. Which of the following waves have both longitudinal and transverse properties? A) Light B) Water waves C) P type seismic waves D) S type seismic waves E) Sound waves 42. A straight pulse moves toward a straight barrier as shown in the drawing.

Draw the shape of the pulse at the moment point B hits the barrier.

! 8

43. A straight pulse is generated in a ripple tank and it is incident on barrier-1 as shown in the figure below.

What is the angle of reflection of the pulse from barrier-2? 44. A straight pulse AB is moving as shown in the figure below. The focal points of the barriers are F1 and F2.

Draw the shape of the pulse after it is reflected from barrier-2. 45. Periodic water waves are produced in a ripple tank. The distance between the first and the seventh wave crests is 36 cm. What is the wavelength of the waves?

46. A stroboscope having 6 slits is rotated 9 times is 3 s to observe a stationary wave pattern with true wavelength. The wavelength of the waves is 2,5 cm. Calculate the speed of the waves in cm/s. 47. A wave source produces 20 complete waves in 5 s and the wavelength is "λ". When the waves are observed by a stroboscope having 5 slits, the wave pattern is observed to be stationary with wavelength "λ". What is the frequency of the stroboscope? 48. A stroboscope having 4 slits makes one complete rotation is 2 s and a stationary pattern of periodic water waves is observed. Although the waves have wavelength "λ", the stationary pattern has wavelength "λ/2". If the distance between 3 successive crests is measured to be 6 cm, calculate the speed of the waves?

Angle of incidence to

barrier-2 is 0o.

Page 23: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

44. 45.Worksheet : Spring and Water Waves

! 8

43. A straight pulse is generated in a ripple tank and it is incident on barrier-1 as shown in the figure below.

What is the angle of reflection of the pulse from barrier-2? 44. A straight pulse AB is moving as shown in the figure below. The focal points of the barriers are F1 and F2.

Draw the shape of the pulse after it is reflected from barrier-2. 45. Periodic water waves are produced in a ripple tank. The distance between the first and the seventh wave crests is 36 cm. What is the wavelength of the waves?

46. A stroboscope having 6 slits is rotated 9 times is 3 s to observe a stationary wave pattern with true wavelength. The wavelength of the waves is 2,5 cm. Calculate the speed of the waves in cm/s. 47. A wave source produces 20 complete waves in 5 s and the wavelength is "λ". When the waves are observed by a stroboscope having 5 slits, the wave pattern is observed to be stationary with wavelength "λ". What is the frequency of the stroboscope? 48. A stroboscope having 4 slits makes one complete rotation is 2 s and a stationary pattern of periodic water waves is observed. Although the waves have wavelength "λ", the stationary pattern has wavelength "λ/2". If the distance between 3 successive crests is measured to be 6 cm, calculate the speed of the waves?

! 8

43. A straight pulse is generated in a ripple tank and it is incident on barrier-1 as shown in the figure below.

What is the angle of reflection of the pulse from barrier-2? 44. A straight pulse AB is moving as shown in the figure below. The focal points of the barriers are F1 and F2.

Draw the shape of the pulse after it is reflected from barrier-2. 45. Periodic water waves are produced in a ripple tank. The distance between the first and the seventh wave crests is 36 cm. What is the wavelength of the waves?

46. A stroboscope having 6 slits is rotated 9 times is 3 s to observe a stationary wave pattern with true wavelength. The wavelength of the waves is 2,5 cm. Calculate the speed of the waves in cm/s. 47. A wave source produces 20 complete waves in 5 s and the wavelength is "λ". When the waves are observed by a stroboscope having 5 slits, the wave pattern is observed to be stationary with wavelength "λ". What is the frequency of the stroboscope? 48. A stroboscope having 4 slits makes one complete rotation is 2 s and a stationary pattern of periodic water waves is observed. Although the waves have wavelength "λ", the stationary pattern has wavelength "λ/2". If the distance between 3 successive crests is measured to be 6 cm, calculate the speed of the waves?

6 =36 cm

=6 cm

Page 24: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

46. 47.Worksheet : Spring and Water Waves

! 8

43. A straight pulse is generated in a ripple tank and it is incident on barrier-1 as shown in the figure below.

What is the angle of reflection of the pulse from barrier-2? 44. A straight pulse AB is moving as shown in the figure below. The focal points of the barriers are F1 and F2.

Draw the shape of the pulse after it is reflected from barrier-2. 45. Periodic water waves are produced in a ripple tank. The distance between the first and the seventh wave crests is 36 cm. What is the wavelength of the waves?

46. A stroboscope having 6 slits is rotated 9 times is 3 s to observe a stationary wave pattern with true wavelength. The wavelength of the waves is 2,5 cm. Calculate the speed of the waves in cm/s. 47. A wave source produces 20 complete waves in 5 s and the wavelength is "λ". When the waves are observed by a stroboscope having 5 slits, the wave pattern is observed to be stationary with wavelength "λ". What is the frequency of the stroboscope? 48. A stroboscope having 4 slits makes one complete rotation is 2 s and a stationary pattern of periodic water waves is observed. Although the waves have wavelength "λ", the stationary pattern has wavelength "λ/2". If the distance between 3 successive crests is measured to be 6 cm, calculate the speed of the waves?

! 8

43. A straight pulse is generated in a ripple tank and it is incident on barrier-1 as shown in the figure below.

What is the angle of reflection of the pulse from barrier-2? 44. A straight pulse AB is moving as shown in the figure below. The focal points of the barriers are F1 and F2.

Draw the shape of the pulse after it is reflected from barrier-2. 45. Periodic water waves are produced in a ripple tank. The distance between the first and the seventh wave crests is 36 cm. What is the wavelength of the waves?

46. A stroboscope having 6 slits is rotated 9 times is 3 s to observe a stationary wave pattern with true wavelength. The wavelength of the waves is 2,5 cm. Calculate the speed of the waves in cm/s. 47. A wave source produces 20 complete waves in 5 s and the wavelength is "λ". When the waves are observed by a stroboscope having 5 slits, the wave pattern is observed to be stationary with wavelength "λ". What is the frequency of the stroboscope? 48. A stroboscope having 4 slits makes one complete rotation is 2 s and a stationary pattern of periodic water waves is observed. Although the waves have wavelength "λ", the stationary pattern has wavelength "λ/2". If the distance between 3 successive crests is measured to be 6 cm, calculate the speed of the waves?

n =6

fstroboscope =93= 3 Hz

fwave =n.fstroboscope =6.3 = 18 Hz

v=λ.f=2,5.18=45 cm/s

n = 5

fwave =205

= 4 Hz

fwave =n.fstroboscope

4 = 5.fstroboscope ⇒

fstroboscope = 0,8 Hz

in

Page 25: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

48. 49.Worksheet : Spring and Water Waves

! 8

43. A straight pulse is generated in a ripple tank and it is incident on barrier-1 as shown in the figure below.

What is the angle of reflection of the pulse from barrier-2? 44. A straight pulse AB is moving as shown in the figure below. The focal points of the barriers are F1 and F2.

Draw the shape of the pulse after it is reflected from barrier-2. 45. Periodic water waves are produced in a ripple tank. The distance between the first and the seventh wave crests is 36 cm. What is the wavelength of the waves?

46. A stroboscope having 6 slits is rotated 9 times is 3 s to observe a stationary wave pattern with true wavelength. The wavelength of the waves is 2,5 cm. Calculate the speed of the waves in cm/s. 47. A wave source produces 20 complete waves in 5 s and the wavelength is "λ". When the waves are observed by a stroboscope having 5 slits, the wave pattern is observed to be stationary with wavelength "λ". What is the frequency of the stroboscope? 48. A stroboscope having 4 slits makes one complete rotation is 2 s and a stationary pattern of periodic water waves is observed. Although the waves have wavelength "λ", the stationary pattern has wavelength "λ/2". If the distance between 3 successive crests is measured to be 6 cm, calculate the speed of the waves?

! 9

49. A straight pulse moves from deep region into shallow region in a ripple tank as shown in the figure.

Draw the appearance of the pulse in the shallow region. 50. The diagram given below represents a straight pulse passing from region M to region P in a ripple tank.

Compare the speeds of the pulse in region P and M (vP and vM). 51. A straight pulse moves in a ripple tank as shown in the figure below.

Draw the final shape of the pulse.

52. A ripple tank is divided into three regions. A straight pulse starts from region I and travels through the other two regions. The appearances of the pulses in these regions are given in the following figure.

What is the relation between the depths of these three regions? 53. The top view of a ripple tank is given in the following figure. Pulses are produced by a wave generator at the side A-D. The length of the legs A and B is greater than that of C and D.

Draw the shape of the periodic pulses. 54. The figure shows the passage of a pulse from one region to another.

Compare the speed and the wavelength of the pulse in region-1 and region-2.

n = 4

fstroboscope =12

Hz.

But, this is not the actual frequency of the stroboscope. Because, it is rotated 2 times faster than the normal.Wavelength is reduced by a factor of 2. So the normal

frequency of the stroboscope is fstroboscope =14

Hz.

fwave = 4. 14= 1 Hz

2λ=6⇒λ=3 cm

v=3.1=3 cm/s

2 =6 cm

9

49. A straight pulse moves from deep region into shallow region in a ripple tank as shown in the figure.

Draw the appearance of the pulse in the shallow region. 50. The diagram given below represents a straight pulse passing from region M to region P in a ripple tank.

Compare the speeds of the pulse in region P and M (vP and vM). 51. A straight pulse moves in a ripple tank as shown in the figure below.

Draw the final shape of the pulse.

52. A ripple tank is divided into three regions. A straight pulse starts from region I and travels through the other two regions. The appearances of the pulses in these regions are given in the following figure.

What is the relation between the depths of these three regions? 53. The top view of a ripple tank is given in the following figure. Pulses are produced by a wave generator at the side A-D. The length of the legs A and B is greater than that of C and D.

Draw the shape of the periodic pulses. 54. The figure shows the passage of a pulse from one region to another.

Compare the speed and the wavelength of the pulse in region-1 and region-2.

A

B

C

Page 26: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

50. 51.Worksheet : Spring and Water Waves

! 9

49. A straight pulse moves from deep region into shallow region in a ripple tank as shown in the figure.

Draw the appearance of the pulse in the shallow region. 50. The diagram given below represents a straight pulse passing from region M to region P in a ripple tank.

Compare the speeds of the pulse in region P and M (vP and vM). 51. A straight pulse moves in a ripple tank as shown in the figure below.

Draw the final shape of the pulse.

52. A ripple tank is divided into three regions. A straight pulse starts from region I and travels through the other two regions. The appearances of the pulses in these regions are given in the following figure.

What is the relation between the depths of these three regions? 53. The top view of a ripple tank is given in the following figure. Pulses are produced by a wave generator at the side A-D. The length of the legs A and B is greater than that of C and D.

Draw the shape of the periodic pulses. 54. The figure shows the passage of a pulse from one region to another.

Compare the speed and the wavelength of the pulse in region-1 and region-2.

! 9

49. A straight pulse moves from deep region into shallow region in a ripple tank as shown in the figure.

Draw the appearance of the pulse in the shallow region. 50. The diagram given below represents a straight pulse passing from region M to region P in a ripple tank.

Compare the speeds of the pulse in region P and M (vP and vM). 51. A straight pulse moves in a ripple tank as shown in the figure below.

Draw the final shape of the pulse.

52. A ripple tank is divided into three regions. A straight pulse starts from region I and travels through the other two regions. The appearances of the pulses in these regions are given in the following figure.

What is the relation between the depths of these three regions? 53. The top view of a ripple tank is given in the following figure. Pulses are produced by a wave generator at the side A-D. The length of the legs A and B is greater than that of C and D.

Draw the shape of the periodic pulses. 54. The figure shows the passage of a pulse from one region to another.

Compare the speed and the wavelength of the pulse in region-1 and region-2.

The speed in region M is greater than the

speed in region P. The part of the pulse in

region P is not as fast as the part in region M. (See the figure.)

Page 27: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

52. 53.Worksheet : Spring and Water Waves

! 9

49. A straight pulse moves from deep region into shallow region in a ripple tank as shown in the figure.

Draw the appearance of the pulse in the shallow region. 50. The diagram given below represents a straight pulse passing from region M to region P in a ripple tank.

Compare the speeds of the pulse in region P and M (vP and vM). 51. A straight pulse moves in a ripple tank as shown in the figure below.

Draw the final shape of the pulse.

52. A ripple tank is divided into three regions. A straight pulse starts from region I and travels through the other two regions. The appearances of the pulses in these regions are given in the following figure.

What is the relation between the depths of these three regions? 53. The top view of a ripple tank is given in the following figure. Pulses are produced by a wave generator at the side A-D. The length of the legs A and B is greater than that of C and D.

Draw the shape of the periodic pulses. 54. The figure shows the passage of a pulse from one region to another.

Compare the speed and the wavelength of the pulse in region-1 and region-2.

! 9

49. A straight pulse moves from deep region into shallow region in a ripple tank as shown in the figure.

Draw the appearance of the pulse in the shallow region. 50. The diagram given below represents a straight pulse passing from region M to region P in a ripple tank.

Compare the speeds of the pulse in region P and M (vP and vM). 51. A straight pulse moves in a ripple tank as shown in the figure below.

Draw the final shape of the pulse.

52. A ripple tank is divided into three regions. A straight pulse starts from region I and travels through the other two regions. The appearances of the pulses in these regions are given in the following figure.

What is the relation between the depths of these three regions? 53. The top view of a ripple tank is given in the following figure. Pulses are produced by a wave generator at the side A-D. The length of the legs A and B is greater than that of C and D.

Draw the shape of the periodic pulses. 54. The figure shows the passage of a pulse from one region to another.

Compare the speed and the wavelength of the pulse in region-1 and region-2.

The legs A and B is greater than that of C and D. This means AB part is shallower than

CD part.

Region I is the deepest region. Region II is deeper than region III.

Comparison from deeper to shallower is I>II>III

30o 20o

Page 28: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

54. 55.Worksheet : Spring and Water Waves

! 9

49. A straight pulse moves from deep region into shallow region in a ripple tank as shown in the figure.

Draw the appearance of the pulse in the shallow region. 50. The diagram given below represents a straight pulse passing from region M to region P in a ripple tank.

Compare the speeds of the pulse in region P and M (vP and vM). 51. A straight pulse moves in a ripple tank as shown in the figure below.

Draw the final shape of the pulse.

52. A ripple tank is divided into three regions. A straight pulse starts from region I and travels through the other two regions. The appearances of the pulses in these regions are given in the following figure.

What is the relation between the depths of these three regions? 53. The top view of a ripple tank is given in the following figure. Pulses are produced by a wave generator at the side A-D. The length of the legs A and B is greater than that of C and D.

Draw the shape of the periodic pulses. 54. The figure shows the passage of a pulse from one region to another.

Compare the speed and the wavelength of the pulse in region-1 and region-2.

! 10

55. The figure shows the passage of pulses from deep medium into shallow medium.

Draw the shape of the pulses in shallow medium. 56. A sound wave has a frequency of 500 Hz. Decide whether this sound wave will diffract through a doorway that is approximately 0,8 m? (The speed of sound in air 340 m/s.) 57. The distance between the first and the fourth crests of a straight water waves is 12 cm. The waves pass through a 9 cm gap. Will there be a sharp diffraction? Why?

58. An interference pattern is produced in a ripple tank. The wavelength of the waves is 4 cm. A point P is 38 cm and 30 cm apart from the sources. On which line is the point P? 59. Two point sources S1 and S2 produce waves of frequency 0,5 Hz. A point M is chosen in the ripple tank. The waves from source S1 reach point M in 10 s, and from source S2 in 12 s. On which line is the point P? 60. Two wave sources generating in phase produce circular water waves and an interference pattern is observed in the ripple tank as shown in the following figure.

If the wavelength of the waves is "λ", what is the path difference for the points A, B, C and D in terms of "λ"? 61. Two wave sources generating in phase produce circular water waves and an interference pattern is observed in the ripple tank. The wavelength of the waves is 6 cm. A point P is chosen on the third nodal line. What is the path difference of point P in cm?

As the water waves moves from a region to another one, their frequency remains the same. Because it depends on the source.

Speed and the wavelength are directly proportional when frequency of the source is

the same.

Both speed and wavelength in region I is greater than that of in region II.

Both speed and wavelength in shallow region will be smaller.

Page 29: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

56. 57.Worksheet : Spring and Water Waves

! 10

55. The figure shows the passage of pulses from deep medium into shallow medium.

Draw the shape of the pulses in shallow medium. 56. A sound wave has a frequency of 500 Hz. Decide whether this sound wave will diffract through a doorway that is approximately 0,8 m? (The speed of sound in air 340 m/s.) 57. The distance between the first and the fourth crests of a straight water waves is 12 cm. The waves pass through a 9 cm gap. Will there be a sharp diffraction? Why?

58. An interference pattern is produced in a ripple tank. The wavelength of the waves is 4 cm. A point P is 38 cm and 30 cm apart from the sources. On which line is the point P? 59. Two point sources S1 and S2 produce waves of frequency 0,5 Hz. A point M is chosen in the ripple tank. The waves from source S1 reach point M in 10 s, and from source S2 in 12 s. On which line is the point P? 60. Two wave sources generating in phase produce circular water waves and an interference pattern is observed in the ripple tank as shown in the following figure.

If the wavelength of the waves is "λ", what is the path difference for the points A, B, C and D in terms of "λ"? 61. Two wave sources generating in phase produce circular water waves and an interference pattern is observed in the ripple tank. The wavelength of the waves is 6 cm. A point P is chosen on the third nodal line. What is the path difference of point P in cm?

! 10

55. The figure shows the passage of pulses from deep medium into shallow medium.

Draw the shape of the pulses in shallow medium. 56. A sound wave has a frequency of 500 Hz. Decide whether this sound wave will diffract through a doorway that is approximately 0,8 m? (The speed of sound in air 340 m/s.) 57. The distance between the first and the fourth crests of a straight water waves is 12 cm. The waves pass through a 9 cm gap. Will there be a sharp diffraction? Why?

58. An interference pattern is produced in a ripple tank. The wavelength of the waves is 4 cm. A point P is 38 cm and 30 cm apart from the sources. On which line is the point P? 59. Two point sources S1 and S2 produce waves of frequency 0,5 Hz. A point M is chosen in the ripple tank. The waves from source S1 reach point M in 10 s, and from source S2 in 12 s. On which line is the point P? 60. Two wave sources generating in phase produce circular water waves and an interference pattern is observed in the ripple tank as shown in the following figure.

If the wavelength of the waves is "λ", what is the path difference for the points A, B, C and D in terms of "λ"? 61. Two wave sources generating in phase produce circular water waves and an interference pattern is observed in the ripple tank. The wavelength of the waves is 6 cm. A point P is chosen on the third nodal line. What is the path difference of point P in cm?

v = λ.f ⇒λ =vf=

340500

= 0,68 m

d=0,8 m

Sound wave will diffract slightly.Becasue "d" and "λ" are very close.

3λ = 12 ⇒λ = 4 cm

d=9 m

There would be a sharp diffraction.Because wavelength is greater thanthe gap.

Page 30: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

58. 59.Worksheet : Spring and Water Waves

! 10

55. The figure shows the passage of pulses from deep medium into shallow medium.

Draw the shape of the pulses in shallow medium. 56. A sound wave has a frequency of 500 Hz. Decide whether this sound wave will diffract through a doorway that is approximately 0,8 m? (The speed of sound in air 340 m/s.) 57. The distance between the first and the fourth crests of a straight water waves is 12 cm. The waves pass through a 9 cm gap. Will there be a sharp diffraction? Why?

58. An interference pattern is produced in a ripple tank. The wavelength of the waves is 4 cm. A point P is 38 cm and 30 cm apart from the sources. On which line is the point P? 59. Two point sources S1 and S2 produce waves of frequency 0,5 Hz. A point M is chosen in the ripple tank. The waves from source S1 reach point M in 10 s, and from source S2 in 12 s. On which line is the point P? 60. Two wave sources generating in phase produce circular water waves and an interference pattern is observed in the ripple tank as shown in the following figure.

If the wavelength of the waves is "λ", what is the path difference for the points A, B, C and D in terms of "λ"? 61. Two wave sources generating in phase produce circular water waves and an interference pattern is observed in the ripple tank. The wavelength of the waves is 6 cm. A point P is chosen on the third nodal line. What is the path difference of point P in cm?

! 10

55. The figure shows the passage of pulses from deep medium into shallow medium.

Draw the shape of the pulses in shallow medium. 56. A sound wave has a frequency of 500 Hz. Decide whether this sound wave will diffract through a doorway that is approximately 0,8 m? (The speed of sound in air 340 m/s.) 57. The distance between the first and the fourth crests of a straight water waves is 12 cm. The waves pass through a 9 cm gap. Will there be a sharp diffraction? Why?

58. An interference pattern is produced in a ripple tank. The wavelength of the waves is 4 cm. A point P is 38 cm and 30 cm apart from the sources. On which line is the point P? 59. Two point sources S1 and S2 produce waves of frequency 0,5 Hz. A point M is chosen in the ripple tank. The waves from source S1 reach point M in 10 s, and from source S2 in 12 s. On which line is the point P? 60. Two wave sources generating in phase produce circular water waves and an interference pattern is observed in the ripple tank as shown in the following figure.

If the wavelength of the waves is "λ", what is the path difference for the points A, B, C and D in terms of "λ"? 61. Two wave sources generating in phase produce circular water waves and an interference pattern is observed in the ripple tank. The wavelength of the waves is 6 cm. A point P is chosen on the third nodal line. What is the path difference of point P in cm?

The period of the sources is

T = 1f

= 10,5

= 2 s

This means in every 2 s source

generates a wave crest.

Source S1 is generating 102

= 5th crest

Source S2 is generating 122

=6th crest

Path difference is "(6 - 5).λ=λ"

So, P is on the first antinodal line.

!

Path difference=38-30=n.4 ⇒

4n = 8n = 2

Point P is on the 2nd nodal line.anti nodal line

Page 31: Physics 12 Waves Worksheet : Spring and Water Waves worksheet (new version... · Physics 12 Waves Worksheet : Spring and Water Waves 1. /2 node antinode A standing wave ... The energy

Physics 12 Waves

60. 61.Worksheet : Spring and Water Waves

! 10

55. The figure shows the passage of pulses from deep medium into shallow medium.

Draw the shape of the pulses in shallow medium. 56. A sound wave has a frequency of 500 Hz. Decide whether this sound wave will diffract through a doorway that is approximately 0,8 m? (The speed of sound in air 340 m/s.) 57. The distance between the first and the fourth crests of a straight water waves is 12 cm. The waves pass through a 9 cm gap. Will there be a sharp diffraction? Why?

58. An interference pattern is produced in a ripple tank. The wavelength of the waves is 4 cm. A point P is 38 cm and 30 cm apart from the sources. On which line is the point P? 59. Two point sources S1 and S2 produce waves of frequency 0,5 Hz. A point M is chosen in the ripple tank. The waves from source S1 reach point M in 10 s, and from source S2 in 12 s. On which line is the point P? 60. Two wave sources generating in phase produce circular water waves and an interference pattern is observed in the ripple tank as shown in the following figure.

If the wavelength of the waves is "λ", what is the path difference for the points A, B, C and D in terms of "λ"? 61. Two wave sources generating in phase produce circular water waves and an interference pattern is observed in the ripple tank. The wavelength of the waves is 6 cm. A point P is chosen on the third nodal line. What is the path difference of point P in cm?

! 10

55. The figure shows the passage of pulses from deep medium into shallow medium.

Draw the shape of the pulses in shallow medium. 56. A sound wave has a frequency of 500 Hz. Decide whether this sound wave will diffract through a doorway that is approximately 0,8 m? (The speed of sound in air 340 m/s.) 57. The distance between the first and the fourth crests of a straight water waves is 12 cm. The waves pass through a 9 cm gap. Will there be a sharp diffraction? Why?

58. An interference pattern is produced in a ripple tank. The wavelength of the waves is 4 cm. A point P is 38 cm and 30 cm apart from the sources. On which line is the point P? 59. Two point sources S1 and S2 produce waves of frequency 0,5 Hz. A point M is chosen in the ripple tank. The waves from source S1 reach point M in 10 s, and from source S2 in 12 s. On which line is the point P? 60. Two wave sources generating in phase produce circular water waves and an interference pattern is observed in the ripple tank as shown in the following figure.

If the wavelength of the waves is "λ", what is the path difference for the points A, B, C and D in terms of "λ"? 61. Two wave sources generating in phase produce circular water waves and an interference pattern is observed in the ripple tank. The wavelength of the waves is 6 cm. A point P is chosen on the third nodal line. What is the path difference of point P in cm?

Path difference for a point chosen on a nodal line;

PS1 - PS2 = n - 12

!

"#

$

%&.λ

PS1 - PS2 = 3 - 12

!

"#

$

%&.6= 15 cm

!

AS1 - AS2 =3,5λ −2λ = 1,5λ

BS1 - BS2 =2,5λ −2,5λ = 0

CS1 -CS2 =3λ −λ = 2λ

DS1 - DS2 =4λ − 1,5λ = 2,5λ

!