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Hong Kong Examinations Authority All Rights Reserved 2001 2001-AL-PHY 2–1 HONG KONG EXAMINATIONS AUTHORITY HONG KONG ADVANCED LEVEL EXAMINATION 2001 PHYSICS A-LEVEL PAPER 2 1.30 pm – 4.30 pm (3 hours) This paper must be answered in English SECTION A Multiple-choice Questions Answer ALL Questions SECTION B Answer any THREE Questions INSTRUCTIONS FOR SECTION A 1. Read carefully the instructions on the Answer Sheet and insert the information required (including the Q.P. Code) in the spaces provided. 2. When told to open this book, you should check that all the questions are there. Look for the words ‘END OF PAPER’ after the last question. 3. All questions carry equal marks. 4. ANSWER ALL QUESTIONS. You should mark all your answers on the Answer Sheet. 5. You should mark only ONE answer for each question. If you mark more than one answer, you will receive NO MARKS for that question. 6. No marks will be deducted for wrong answers. 2001-AL PHY PAPER 2 Q.P. Code 8262

2001 Physics (AL) Paper 2

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Page 1: 2001 Physics (AL) Paper 2

Hong Kong Examinations Authority

All Rights Reserved 2001

2001-AL-PHY 2–1

HONG KONG EXAMINATIONS AUTHORITY

HONG KONG ADVANCED LEVEL EXAMINATION 2001

PHYSICS A-LEVEL PAPER 2

1.30 pm – 4.30 pm (3 hours)

This paper must be answered in English

SECTION A Multiple-choice Questions Answer ALL Questions

SECTION B Answer any THREE Questions

INSTRUCTIONS FOR SECTION A

1. Read carefully the instructions on the Answer Sheet and insert the information

required (including the Q.P. Code) in the spaces provided.

2. When told to open this book, you should check that all the questions are there.

Look for the words ‘END OF PAPER’ after the last question.

3. All questions carry equal marks.

4. ANSWER ALL QUESTIONS. You should mark all your answers on the

Answer Sheet.

5. You should mark only ONE answer for each question. If you mark more than

one answer, you will receive NO MARKS for that question.

6. No marks will be deducted for wrong answers.

2001-AL

PHY

PAPER 2

Q.P. Code 8262

Page 2: 2001 Physics (AL) Paper 2

2001-AL-PHY 2–2 – 1 –

Section A

There are 45 questions in this section. Answer ALL questions. Each question is

followed by five suggested answers. Select the best answer in each case. Where

necessary, take g to be 10 m s-2 and take c to be 3 x 108 m s-1.

1. A block rests on a rough inclined plane. Which of the following diagrams

correctly shows the lines of application of all the forces acting on the

block ? (The dot represents the centre of mass of the block.)

A. B.

C. D.

E.

Page 3: 2001 Physics (AL) Paper 2

2001-AL-PHY 2–3 – 2 –

2. Which of the following pairs of forces is/are example(s) of action and

reaction ?

(1) The centripetal force keeping a satellite in orbit round the earth and

the weight of the satellite.

(2) The air resistance acting on an object falling through the air with

terminal velocity and the weight of the object.

(3) The forces of attraction experienced by two parallel wires carrying

currents in the same direction.

A. (1) only

B. (3) only

C. (1) and (2) only

D. (2) and (3) only

E. (1), (2) and (3)

3. A stone is projected at an angle of 45o to the horizontal with an initial

kinetic energy E. Neglecting air resistance, when the stone is halfway up,

its kinetic energy is

A.4

E.

B.2

E.

C.4

3E.

D.2

E.

E. E .

4. Which of the following is/are vector quantities ?

(1) impulse

(2) moment of inertia

(3) pressure

A. (1) only

B. (3) only

C. (1) and (2) only

D. (2) and (3) only

E. (1), (2) and (3)

Go on to the next page

Page 4: 2001 Physics (AL) Paper 2

2001-AL-PHY 2–4 – 3 –

5.

An object accelerates uniformly along a straight line from X to Z. It passes

X and Z with speeds u and v respectively. What is its speed when it passes

Y, which is the mid-point of XZ ?

A.2

22vu +

B. uv

C.vu

uv

+

2

D.2

vu +

E. It cannot be found as the distance between X and Z is not

known.

6. For an object oscillating with simple harmonic motion, which of the

following quantities will reach the maximum value when the object is at its

maximum displacement ?

(1) the restoring force acting on the object

(2) the total potential energy of the system

(3) the speed of the object

A. (1) only

B. (3) only

C. (1) and (2) only

D. (2) and (3) only

E. (1), (2) and (3)

7. The maximum speed of a simple harmonic oscillator is 1 m s-1 and its

amplitude is 0.5 m. What is the speed of the oscillator when its

displacement from the equilibrium position is 0.3 m ?

A. 0.2 m s-1

B. 0.36 m s-1

C. 0.4 m s-1

D. 0.6 m s-1

E. 0.8 m s-1

X Y Z

Page 5: 2001 Physics (AL) Paper 2

2001-AL-PHY 2–5 – 4 –

8.

The figure shows a swinging simple pendulum, starting from a point higher

than P. Which of the following forces is/are acting on the pendulum bob

when it is at P ? (Neglect air resistance)

(1) the weight of the bob

(2) a force exerted by the string pointing towards O

(3) a third force along the direction of motion of the bob

A. (1) only

B. (3) only

C. (1) and (2) only

D. (2) and (3) only

E. (1), (2) and (3)

9. A solid cylinder and a hollow cylinder, each having the same mass and

external radius, are released together from rest, side by side, at the top of a

rough inclined plane. Both cylinders roll down the inclined plane without

slipping. Which of the following statements is INCORRECT ?

A. The solid cylinder has a smaller moment of inertia about its

axis.

B. The solid cylinder reaches the bottom of the incline first.

C. There is no work done by each cylinder against the friction

due to the incline.

D. The total kinetic energy of each cylinder is the same at the

bottom of the incline.

E. The solid cylinder has greater rotational kinetic energy at the

bottom of the incline.

O

P

Go on to the next page

Page 6: 2001 Physics (AL) Paper 2

2001-AL-PHY 2–6 – 5 –

10. A small sphere is connected to one end of a string which passes through a

hole on a horizontal frictionless board. The other end of the string is pulled

by a downward force F so that the sphere describes a uniform circular

motion with radius r as shown.

The force F is gradually increased until the radius reduces steadily to r/2.

What is the ratio of the new kinetic energy of the sphere to its original

kinetic energy ? (Neglect any friction between the string and the hole.)

A. 4 : 1

B. 2 : 1

C. 1 : 1

D. 1 : 2

E. 1 : 4

11. The SI unit of time, second, used to be defined as 9 192 631 770 times the

period of the electromagnetic wave emitted from a caesium-133 atom. In

which region of the electromagnetic spectrum is this wave to be found ?

A. infra-red

B. ultra-violet

C. radio wave

D. microwave

E. visible

12. In which of the following cases can the principle of superposition be applied

to two overlapping waves of the same nature ?

A. Only when the two waves have the same frequency.

B. Only when the two waves have the same amplitude.

C. Only when the two waves travel in opposite directions.

D. Only when the two waves are coherent.

E. It can be applied in all cases.

F

r

Page 7: 2001 Physics (AL) Paper 2

2001-AL-PHY 2–7 – 6 –

13. A student prepares a double-slit set-up as shown below. However, no

interference fringe can be observed on the screen.

Your suggestion for improvement may be

A. using a mercury lamp to provide radiation of a shorter

wavelength.

B. reducing x.

C. reducing D.

D. increasing a.

E. reducing d.

14. Which of the following statements concerning Newton’s rings is/are

correct ?

(1) A convex lens with long focal length should be used.

(2) Adjacent rings become farther apart when moving outwards from the

central spot.

(3) The central spot is bright when some liquid is introduced between the

convex lens and the reflector.

A. (1) only

B. (3) only

C. (1) and (2) only

D. (2) and (3) only

E. (1), (2) and (3)

D = 1 mx = 0.1 m

d = 0.01 m

sodium

lampscreen

a = 1 mm

Go on to the next page

Page 8: 2001 Physics (AL) Paper 2

2001-AL-PHY 2–8 – 7 –

15. What is the intensity ratio of a note of 60 dB compared with another note of

40 dB which has the same frequency ?

A. 1.5

B. 15

C. 20

D. 100

E. 200

16. The focal length of a concave mirror is f. The mirror will produce a real,

inverted and diminished image when the distance of the object from the pole

of the mirror is

A. greater than 2f .

B. equal to 2f .

C. between f and 2f .

D. equal to f .

E. less than f .

17. Three polaroid sheets P, Q and R are placed along a straight line with a lamp

and a detector as shown.

Initially the directions of polarisation of P and Q are parallel but are both

normal to that of R. What happens to the intensity I recorded by the detector

when Q is being rotated slowly through 90o until its direction of polarisation

is parallel to that of R ?

A. I remains unchanged.

B. I increases throughout.

C. I decreases throughout.

D. I increases and then decreases.

E. I decreases and then increases.

RQP

lamp

detector

Page 9: 2001 Physics (AL) Paper 2

2001-AL-PHY 2–9 – 8 –

18. A boy sitting at the rim of a rotating merry-go-round blows a whistle

continuously with frequency fo. An observer on the ground hears the sound

of the whistle. Which of the graphs below gives the possible variation of

the observed frequency f of the sound in a period of revolution T ?

A . B .

C . D .

E .

19. Kepler discovered that the line joining the Sun and a revolving planet

sweeps out equal areas in equal times. The physical law which most

directly explains this phenomenon is

A. Newton’s first law of motion.

B. Newton’s third law of motion.

C. Newton’s law of universal gravitation.

D. conservation of angular momentum.

E. conservation of energy.

f

fo

T time

f

fo

T time

f

fo

T time

f

fo

T time

f

fo

T time

Go on to the next page

Page 10: 2001 Physics (AL) Paper 2

2001-AL-PHY 2–10 – 9 –

20. Two insulated uncharged metal spheres X and Y are in contact with each

other. A positively charged rod is brought near X without any contact while

sphere X is earthed as shown.

At steady state, which of the following descriptions is/are correct ?

(1) Sphere X gains electrons.

(2) Sphere Y loses electrons.

(3) Sphere X acquires a negative electric potential.

(4) Sphere Y acquires a positive electric potential.

A. (1) only

B. (1) and (2) only

C. (1) and (3) only

D. (2) and (4) only

E. (1), (2), (3) and (4)

21.

The above figure shows a network of resistors. If a voltage of 100 V is

applied across terminals A and B, the potential difference between C and D

is 80 V. If the voltage is applied across terminals C and D instead, what is

the potential difference between A and B ?

A. 80 V

B. 60 V

C. 40 V

D. 20 V

E. It cannot be found as the value of R is not known.

60 Ω

R

60 Ω10 Ω

10 ΩA

B D

C

Y+

++

+

X

Page 11: 2001 Physics (AL) Paper 2

2001-AL-PHY 2–11 – 10 –

22. X and Y are bulbs with ratings ‘6 V, 12 W’ and ‘6 V, 3 W’ respectively. If

they are connected to a 12 V supply of negligible internal resistance, which

of the following connections allows the two bulbs to work at their respective

rated values ?

A. B.

C. D.

E.

23. The two plates of a parallel-plate capacitor initially carry equal amounts of

positive charge. If some charges are transferred from one plate to another,

the charges on the plates are respectively +900 µC and +100 µC. The

potential difference across the plates becomes 4 V. What is the capacitance

of the capacitor ?

A. 25 µF

B. 100 µF

C. 125 µF

D. 200 µF

E. 225 µF

X

Y

X

Y

X Y X

Y

X

Y

Go on to the next page

Page 12: 2001 Physics (AL) Paper 2

2001-AL-PHY 2–12 – 11 –

24. A ‘jumbo’ capacitor has capacitance 100 000 µF. Such a capacitor charged

to 20 V would

(1) provide a mean current of 1 mA for 2000 s.

(2) be completely discharged through a 10 resistor in 1 s.

(3) store 40 J of electrostatic energy.

A. (1) only

B. (3) only

C. (1) and (2) only

D. (2) and (3) only

E. (1), (2) and (3)

25. If the separation between the plates of a parallel-plate capacitor is increased

by 20%, its capacitance will

A. decrease by 17%.

B. increase by 17%.

C. decrease by 20%.

D. increase by 20%.

E. decrease by 25%.

26. Magnetic flux is measured in weber. Which of the following is/are

equivalent to weber ?

(1) henry-ampere

(2) volt-second

(3) tesla-metre

A. (1) only

B. (3) only

C. (1) and (2) only

D. (2) and (3) only

E. (1), (2) and (3)

27. Which of the following properties is NOT common to both electric and

magnetic fields ?

A. Both can be ‘shielded’ using suitable materials.

B. Both can exert attractive and repulsive forces.

C. Both can deflect moving charged particles.

D. Both can be represented by field lines of closed loops.

E. Both can store energy.

Page 13: 2001 Physics (AL) Paper 2

2001-AL-PHY 2–13 – 12 –

28.

The figure shows a light and flexible conducting loop C freely hung on a

smooth horizontal rail. A bar magnet PQ approaches the loop from the

right. Which of the following descriptions about this process is correct ?

A. If P is an N-pole, the loop will be repelled to the left and its

area will increase slightly.

B. If P is a S-pole, the loop will be repelled to the left and its

area will increase slightly.

C. If P is an N-pole, the loop will be attracted to the right and

its area will decrease slightly.

D. No matter whether P is an N-pole or a S-pole, the loop will

be repelled to the left and its area will increase slightly.

E. No matter whether P is an N-pole or a S-pole, the loop will

be repelled to the left and its area will decrease slightly.

29. Which of the following descriptions about a moving-coil meter is/are

correct ?

(1) It has a massive soft iron core to provide damping.

(2) It has curved magnetic poles to assist in producing linear scale.

(3) It has weak hair springs to increase the sensitivity.

A. (1) only

B. (3) only

C. (1) and (2) only

D. (2) and (3) only

E. (1), (2) and (3)

30. In an a.c. circuit, two components, one of resistance 5 and the other of

inductive reactance 10 , are connected in series to the source. The r.m.s.

current is 2 A. What is the average power dissipated as heat in the circuit ?

A. 10 W

B. 20 W

C. 40 W

D. 45 W

E. 60 W

P Q

C

Go on to the next page

Page 14: 2001 Physics (AL) Paper 2

2001-AL-PHY 2–14 – 13 –

31. Which of the following waveforms CANNOT be obtained by applying

sinusoidal voltages to both X- and Y-inputs of a CRO ?

A. B. C.

D. E.

32. Which of the following is NOT a basic assumption of the kinetic theory of

an ideal gas ?

A. All molecules are in random motion.

B. All molecules move with the same speed at a certain

temperature.

C. All molecules are point particles that have no physical size.

D. All collisions are perfectly elastic.

E. All molecules do not exert force on one another except

during collisions.

33. The first law of thermodynamics can be expressed as U = Q + W. When

an ideal gas is compressed while keeping its pressure constant, which of the

following holds ?

Q U W

A. positive negative negative

B. positive positive positive

C. zero negative negative

D. negative negative negative

E. negative negative positive

Page 15: 2001 Physics (AL) Paper 2

2001-AL-PHY 2–15 – 14 –

34. The concept that “energy change occurs in discrete and not continuous

amounts” is NOT REQUIRED to explain

A. absorption line spectrum.

B. nuclear fission.

C. emission of γ-rays in radioactive decay.

D. photoelectric effect.

E. X-ray line spectrum emitted in X-ray tubes.

35. The interatomic force between pairs of similar atoms consists of two

components. These are

(1) a short-range repulsive force which varies inversely as r6,

(2) a long-range attractive force which varies inversely as r3,

where r = interatomic separation.

Given that a and b are positive constants, and repulsive force is taken as

positive, which of the following correctly expresses in mathematical form

the interatomic potential energy of a pair of atoms ?

A.47 r

b

r

a−

B.36 r

b

r

a+−

C.36 r

b

r

a−

D.25 r

b

r

a+−

E.25 r

b

r

a−

Go on to the next page

Page 16: 2001 Physics (AL) Paper 2

2001-AL-PHY 2–16 – 15 –

36. In an experiment to determine the Young modulus for a steel wire, a student

obtained the following data :

length of steel wire = 1.96 ± 0.01 m

diameter of steel wire = 0.61 ± 0.01 mm

mass of the load = 10.00 ± 0.01 kg

extension = 3.9 ± 0.1 mm

acceleration of free fall = 9.8 ± 0.1 m s-2

Which of the following leads to the greatest uncertainty in the calculated

value of the Young modulus ?

A. measurement of length

B. measurement of diameter

C. measurement of load

D. measurement of extension

E. assumed value of the acceleration of free fall

37.

The graph above shows the tensile stress - tensile strain curves for three

materials X, Y and Z up to their breaking points. Which of the following

statements is/are correct ?

(1) X is stiffer than Y.

(2) Y is stronger than Z.

(3) Z can be stretched to twice its original length without breaking.

A. (1) only

B. (3) only

C. (1) and (2) only

D. (2) and (3) only

E. (1), (2) and (3)

200

600

400

X

Y

0.5

Z

stress/MPa

1.0 1.5 2.0strain0

Page 17: 2001 Physics (AL) Paper 2

2001-AL-PHY 2–17 – 16 –

38.

The above diagram shows the steady flow of water through a horizontal

uniform pipe with a central narrow section near Y. The water levels in

manometers at X, Y and Z indicate the pressure in each section. The levels

in Y and Z are NOT shown. Which of the following statements is/are

correct ?

(1) The water speed in the narrow section is greater than the speeds in

other sections.

(2) The water speed in section Z is equal to that in section X.

(3) The water level in manometer Y is the highest.

A. (1) only

B. (3) only

C. (1) and (2) only

D. (2) and (3) only

E. (1), (2) and (3)

39. A certain photocell emits electrons when illuminated with yellow light.

This photocell will PROBABLY NOT emit electrons when illuminated with

A. blue light.

B. green light.

C. red light.

D. ultra-violet radiation.

E. X-rays.

40. Which of the following electron transitions between energy levels in an

atom will emit electromagnetic radiation of the highest frequency ?

A. n = 2 to n = 1

B. n = 3 to n = 2

C. n = 4 to n = 3

D. n = 4 to n = 2

E. n = 5 to n = 2

X ZY

Go on to the next page

Page 18: 2001 Physics (AL) Paper 2

2001-AL-PHY 2–18 – 17 –

41.

In the above transistor circuit, the voltage across the base and the emitter is

0.6 V when the transistor conducts. The current amplification factor of the

transistor is 100. If the output voltage is 2 V, what is the value of R ?

A. 150 kΩB. 270 kΩC. 300 kΩD. 540 kΩE. 600 kΩ

42. The activity of a radioactive sample was 70 Bq at time t = 5 minutes and

49 Bq at t = 10 minutes. Deduce its activity at time t = 0.

A. 112 Bq

B. 100 Bq

C. 95 Bq

D. 91 Bq

E. 80 Bq

43. Isotopes must have the same

(1) nuclear binding energy.

(2) number of nucleons.

(3) number of protons.

A. (1) only

B. (3) only

C. (1) and (2) only

D. (2) and (3) only

E. (1), (2) and (3)

6 V

Vout

2 kΩ

0 V

R

Page 19: 2001 Physics (AL) Paper 2

2001-AL-PHY 2–19 – 18 –

44. Given: mass of proton = 1.0078 u

mass of neutron = 1.0087 u

mass of deuteron H1

2 = 2.0146 u

1 u is equivalent to 931 MeV

Calculate the binding energy per nucleon, in MeV, of a deuteron.

A. 9.5 10-4

B. 1.9 10-3

C. 8.8 10-

D. 9.4 102

E. 1.9 103

45. The table below gives the corrected count rate (in counts per minute) from

three samples of radioactive isotopes at three different times.

Isotope 0 min 20 min 40 min

X 480 243 119

Y 135 32 9

Z 168 118 93

The above data show that

(1) X produces the most penetrating radiation.

(2) Y has the largest decay constant.

(3) Z has the longest half-life.

A. (1) only

B. (3) only

C. (1) and (2) only

D. (2) and (3) only

E. (1), (2) and (3)

END OF SECTION A

Go on to the next page

Page 20: 2001 Physics (AL) Paper 2

2001-AL-PHY 2–20 – 19 –

Section B

Answer any THREE questions from this section. Write your answers in the

ANSWER BOOK provided.

1. (a) (i) What is meant by inertia ? Briefly explain its relation to

force.

(ii) Use an example to illustrate that an object may not

necessarily be at rest when the net force acting on it is

zero.

(3 marks)

(b) (i) Give an example in which a body is accelerating but its

speed remains unchanged. Briefly explain the motion by

using the concepts of force and the change of momentum.

(ii) Briefly outline an experiment to show the following

relation:

force ∝ mass × acceleration

Under what condition(s) would the relation become an

equation ?

(8 marks)

(c) By considering a head-on collision between two moving spheres of

different masses, show clearly that the principle of conservation of

momentum follows from Newton’s laws of motion. (5 marks)

Page 21: 2001 Physics (AL) Paper 2

2001-AL-PHY 2–21 – 20 –

2. (a) Distinguish between mechanical and electromagnetic waves in

terms of their nature and propagation. State the factors governing

the speed of mechanical waves in a solid. (3 marks)

(b) (i) Describe an experiment, involving a double-slit

arrangement, to demonstrate the wave nature of light and

to estimate its wavelength.

(ii) What further evidence would suggest that a light wave is

(I) electromagnetic and (II) transverse ?

(7 marks)

(c) What is the principle of superposition ? Use this principle to

explain (i) the formation of beats and (ii) the formation of

stationary waves. (6 marks)

3. (a) Define electric field intensity and electric potential at a point in an

electric field. Derive a relationship between these two quantities.

(4 marks)

(b) (i) What do you understand by the capacitance of an isolated

conductor ? Suggest TWO practical applications of

capacitors.

(ii) With the aid of a diagram, explain how the electric

potential and the capacitance of a positively charged,

isolated conductor would be affected by a neutral isolated

conductor nearby.

(6 marks)

(c) Describe a method of measuring the capacitance of a parallel-plate

air capacitor using a reed switch. Discuss the factors limiting the

accuracy of the method. (There is no need to describe the

mechanism of the reed switch.) (6 marks)

Go on to the next page

Page 22: 2001 Physics (AL) Paper 2

2001-AL-PHY 2–22 – 21 –

4. (a) (i) Explain how the SI unit of magnetic field strength, the

tesla, is defined.

(ii) Explain why two infinitely long straight wires carrying

currents in the same direction exert forces on each other.

(3 marks)

(b) Describe how you would produce a uniform magnetic field using a

current-carrying conductor. Briefly describe an experiment using a

Hall probe to show that the field is uniform. (6 marks)

(c) A metal rod PQ of length l is moved with constant velocity v

across a uniform magnetic field of flux density B as shown. A

potential difference of magnitude Blv is developed across PQ.

× × × × × × × × ×

× × × × × × × × ×

× × × × × × × × ×

× × × × × × × × ×

× × × × × × × × ×

× × × × × × × × ×

× × × × × × × × ×

× × × × × × × × ×

× × × × × × × × ×

(i) By considering the force(s) acting on an electron in the

rod, explain how the potential difference is developed and

why it remains constant.

(ii) Show that the result is consistent with the law of

electromagnetic induction.

(iii) What would the situation be if the rod is moved with

acceleration ? Explain briefly.

(7 marks)

ννννl

P

Q

uniform magnetic

field (into paper)

Page 23: 2001 Physics (AL) Paper 2

2001-AL-PHY 2–23 – 22 –

5. (a) Give TWO pieces of experimental evidence which support the

nuclear model of an atom with energy levels. Briefly explain the

implications associated with these pieces of experimental evidence.

(4 marks)

(b) The energy levels of a hydrogen atom, in eV, are given by

En = -13.6/n2 where n = 1,2,3,…

(i) With the aid of an energy level diagram, explain the terms

ground state and ionization potential as applied to a

hydrogen atom.

(ii) Describe TWO ways to bring about excitation of a

hydrogen atom. How does the concept of energy levels

explain the emission line spectrum of hydrogen ?

(7 marks)

(c) Under certain circumstances, electrons can be emitted from

substances by photoelectric effect, thermionic emission or

radioactivity. For each process, briefly describe the condition(s)

for electron emission and compare the maximum kinetic energy of

the emitted electrons. (5 marks)

END OF PAPER

Page 24: 2001 Physics (AL) Paper 2

Useful Formulae in Advanced Level Physics

2001-AL-PHY 2–24

A1. ar

r= =υ

ω2

2centripetal acceleration

A2. a x= −ω 2 simple harmonic motion

A3. L I= ω angular momentum of a rigid body

A4. TdL

dt= torque on a rotating body

A5. E I=1

2

2ω energy stored in a rotating body

B1. υ =T

m

velocity of transverse wave motion in a

stretched string

B2. υρ

=E velocity of longitudinal wave motion in a

solid

B3. n p= tanθ refractive index and polarising angle

B4. dD

a=

λ fringe width in double-slit interference

B5. d nsinθ λ= diffraction grating equation

B6. ′ =−

−f f

u

us

( )υ

υ0

Doppler frequency

B7. 10 log ( )102

1

I

Idefinition of the decibel

Page 25: 2001 Physics (AL) Paper 2

Useful Formulae in Advanced Level Physics

2001-AL-PHY 2–25

C1. FGm m

r= 1 2

2

Newton’s law of gravitation

C2. VGM

r= − gravitational potential

C3. r T3 2

/ = constant Kepler’s third law

C4. EQ

r=

4 02πε

electric field due to a point charge

C5. VQ

r=

4 0πεelectric potential due to a point charge

C6. EV

d=

electric field between parallel plates

(numerically)

C7. CQ

V

A

d= =

ε 0 capacitance of a parallel-plate capacitor

C8. Q Q e t RC= −0

/ decay of charge with time when a capacitor

discharges

C9. Q Q e t RC= − −0 1( )

/ rise of charge with time when charging a

capacitor

C10. E CV=1

2

2 energy stored in a capacitor

C11. I nA Q= υ general current flow equation

C12. Rl

A=

ρ resistance and resistivity

C13. F BQ= υ θsin force on a moving charge in a magnetic field

C14. F BIl= sinθ force on a moving conductor in a magnetic

field

C15. VBI

nQt= Hall voltage

Page 26: 2001 Physics (AL) Paper 2

Useful Formulae in Advanced Level Physics

2001-AL-PHY 2–26

C16. BI

r=

µ

π0

2

magnetic field due to a long straight wire

C17. BNI

l=

µ 0 magnetic field inside long solenoid

C18. FI I

r=

µ

π0 1 2

2

force per unit length between long parallel

straight current carrying conductors

C19. T BANI= sin φ torque on a rectangular current carrying coil

in a uniform magnetic field

C20. E BAN t= ω ωsin simple generator e.m.f.

C21.V

V

N

N

s

p

s

p

≈ratio of secondary voltage to primary voltage

in a transformer

C22. E LdI dt= − / e.m.f. induced in an inductor

C23. E LI=1

2

2 energy stored in an inductor

C24. X LL = ω reactance of an inductor

C25. XC

C =1

ωreactance of a capacitor

C26. P IV= cosθ power in an a.c. circuit

C27. ∆ ∆V VR

Rout in

L

B

/ = −β voltage gain of transistor amplifier in the

common emitter configuration

C28. V A V V0 0= −+ −( ) output voltage of op amp (open-loop)

C29. AR

R

f

i

= − gain of inverting amplifier

C30. AR

R

f

i

= +1 gain of non-inverting amplifier

Page 27: 2001 Physics (AL) Paper 2

Useful Formulae in Advanced Level Physics

2001-AL-PHY 2–27

D1. pV nRT NkT= = equation of state for an ideal gas

D2. pV Nmc=1

3

2 kinetic theory equation

D3. ERT

NkTk

A

= =3

2

3

2

molecular kinetic energy

D4. EF

A

x

L=

macroscopic definition of Young modulus

D5. E Fx=1

2energy stored in stretching

D6. FdU

dr= −

relationship between force and potential

energy

D7. E k r= / microscopic interpretation of Young modulus

D8. P gh+ +1

2

2ρυ ρ

= constant

Bernoulli’s equation

D9. WQU +=∆ first law of thermodynamics

D10. En

n = −13 6

2

.eV

energy level equation for hydrogen atom

D11. N N ek t= −

0law of radioactive decay

D12. tk

1

2

2=

lnhalf-life and decay constant

D13.1

2

2m hvmυ = − Φ Einstein’s photoelectric equation

D14. E mc= 2 mass-energy relationship

Page 28: 2001 Physics (AL) Paper 2

2001 AL Physics Paper 2 Section A

Question No. Key Question No. Key

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

21.

22.

23.

24.

25.

26.

27.

28.

29.

30.

E

B

C

A

A

C

E

C

E

(A) This item was deleted.

D

E

E

A

D

A

D

D

D

A

C

D

B

A

A

C

D

E

D

B

31.

32.

33.

34.

35.

36.

37.

38.

39.

40.

41.

42.

43.

44.

45.

C

B

E

B

E

B

E

C

C

A

B

B

B

C

D