Physics 2020 Exam 5

8/20/2019 Physics 2020 Exam 5

1/27

A

Physics 2020

Summer 2006

Richard Ingebretsen

EXAM

5

Name:

Student

ID

Number

Discussion Instructor (circle): Aaron

Dustin Eric

Farid

Justin

[4

pts }

A ray

of

light strikes

a

flat window as shown. Which ray mos closely approximates the path of

light as it exists the window?

(b) B (c)

C

(d) Some light will follow all three paths

B.

[4

pts }

A piece

of

glass shaped as shown, has a refractive index

of

1.5. Light

passes through it striking point B.

In

order for the light to strike point A the piece

of

glass should be:

(a) raised

(b) lowered

® made thicker from top to bottom

(d) made thinner

from

top

to

bottom

light

source

c.

[4 pts ] How long does it take light to pass through a plate of glass (index of refraction =

1.5) 1

cm thick?

5 x 10-8 sec

5 x 10-

11

sec

\i = ~

V

~

C /rfV

(c)

(d)

2

x

10-8 sec

2 x

10

11

sec

I

•

A

D.

[4 pts ] A lens is manufactured in such a way to allows the object and image to be at the same distance from the lens.

E.

If

the lens is not flat, the only way this could be true is if the lens were:

(a)

(b)

(c)

@

a diverging lens with the object at the focal distance

a diverging lens with the object at twice the focal distance

a converging lens with the object at the focal distance

a converging lens with the object at twice the focal distance.

__ _A:... _

-

[4 pts ] Light from the moon passes through a converging lens on the surface

of

he earth. The lens has a focal length

of2

cm. At what distance will the image appear?

(a) 10 cm

@ 2 c m

(c)

40

cm

(d)

at

infinity

F. [5 pts } Which of he following describes how a compound microscope magnifies an image?

(a) Light reflects

off

an object and diffracts through the lenses.

(b)

Light disperses off an object and reflects through the lenses.

@} Light reflects off an object and refracts through the lenses.

(d) Light refracts off an object and reflects through the lenses.

8/20/2019 Physics 2020 Exam 5

2/27

Physics 2020

Summer 2006

Richard Ingebretsen

Student ID Number #


Dustin

EXAM 5

Eric Farid Justin

A.

[10 pts.] A

jewel thief hides a diamond by placing it on the bottom ofa public

swimming pool. He places a circular raft on the surface

of

the water directly above

and centered over the diamond as shown in the drawing. The surface of the water is

calm and the pool is 2.00 m deep. Find the minimum diameter of the raft that

would prevent the diamond from being seen by an observer on the side of the pool

(outside

of

the pool). n

water

=

1.333;

ndiamond =

2.149

Ref€

ec:t; 01,.

IJA

t t

~

I

fo

A r c s J { I ~ 3 )

~ ~ ~ r c iUh-

~ )

I

2

r

,: g {;'

'

o.rtd G

J.

0-r-::-4,-5 6-

M

:]

B.

[15

pIS ] A beam of light is incident on Face A of a quartz prism at an angle of 20°.

The prism is surrounded by an unknown liquid. The light ray leaves face C at 32° with

respect to the normal of face C. What is the index of refraction

of

the unknown liquid?

[Hint: sin(a-b)

=

sin a cos b - cos a sin b]

nquartz

1.53.

\

l

e

S \ \-t 20

0

::: V1 '1.- sll.t9

1. V l , . : : : ; i ~ tp::

Vle \11\

> 0

1\ 0

~

i le ifoMe

r ~ 1 ~ D ° : : . l49

0

+

G

-t f

~ t f ~ 40°

6

V

e

Vl,\-

8/20/2019 Physics 2020 Exam 5

3/27

Physics 2020

Summer 2006

Richard Ingebretsen

EX MS

Name:

Student ID Number

Discussion Instructor (circle): Aaron Dustin Eric Farid Justin

A.

[15 pts.} An object is placed 10.0 cm to the left of a diverging lens f= -5.0 cm). A concave mirror

R = 20.0 cm) is placed 20.0 cm to the right of the lens. Calculate the location ofthe final image with respect to

the lens?

l §:t time

throu.gh.

lens

L +

_1_ ::;

l

d; do .p

di

-

::.

DcrI\

/0

j di

=3 Ch

= -3.3

M.i rror,. ',. ~ ~ }

::;

{o c

f(\

)

) d

;l

=

6me

thrOLtSh

lens

do?>

= GO-

7 , 5 ) ~ v Y l

.a.5cm

...L

..L.

-

I

..L

do?,

-\- d

-

=7

+

3

fs

d;3

-

di ::

-

{,

,1 crn

:L5cm

-SCW\

)

.3

~ i Y\O.I

m ~ e

15

'

7cm

to

r l ~ h t

of

le

n

7

B. Object

0

1

is 15.0 cm to the left

of

a converging lens

of

10.0 cm focal length. A second lens is posit ioned 10.0 cm

to the right

of

the first lens and is observed to form a final image at the position

of

the original object 01'

(a) [7

pts.}

What is the focal length

of

the second lens?

(b) [4

pts.}

What is the overall magnification

of

this system?

c)

[4 pts.]

Is the final image real

or

virtual, upright or inverted? Justify your answers.

0..

J .-

+ l.- - 1-

di do -

f

.L-

15cr

8/20/2019 Physics 2020 Exam 5

4/27

Physics 2020

Summer 2006

Richard Ingebretsen

4

X MS

i

Student ID Number #


Dustin

Eric

Farid

Justin

A. A spherical mirror is used to form an image, five times as tall as an object, on a screen positioned 5.0 m from the

mirror.

~ . - ~

4i;-S

t".5"c."" J 1'\ 7:

_

(a) [6

pts.]

Describe the mirror (convex or concave,

~ u s of

curvature and focal length). d - 5

(b)

[4 pis']

Where should the mirror be placed relative to the object?

+-he.

-5

I rvtA'af..

;

'5

,

\ r - J . . ~

d)

. ;

IIIl

paS:5

d ~

.hecqus

M

-= 5 ::: -

t c-:: -

5

J .... . : -{

:J Cl'.... Source..

.ala

-

do

b ~ b€

h

I t ' M ~

-5' -s

-=- -d,,

~

IY/;

( r -S:::: -(-f/_ de;::. IIY' ~ 1 t I ~ AC(k

o cf

o

I Y1A-4.je

+ = + ~ + r - ~ = r ~ 3 , , - 1

~ = . < f ~ { U M J

f

j ,

p s;-J.io-e.,

5 0

7e '5

i ~

[ ( o " ' ( " ' v ~ J

~ ~ )

d ~ . o

1M.

-

B. An optometrist prescribes contact lenses that have a focal length

of

55.0 cm.

r -4-.

I

I I WI. I r l ' t - r :)1''1

CJ

M

(a)

(b)

(c)

[3

pts.) Are

the lenses converging or diverging? Justify your answer. )

be n. M

I

(fer-

Q,. d

[3

pIs.)

Is the person wearing the lenses nearsighted or farsighted? Justify our answer.

[4 pIS.} Where is the unaided near point

of

the person located,

if

he lenses are designed so that objects

no closer than 35.0 cm can be seen clearly?

q ) [CD '-' l 'i \ be Ut

8/20/2019 Physics 2020 Exam 5

5/27

Pbysics 2020

Summer 2007

Ricbard Ingebretsen

EXAMS

Name:

_______________

Student ID Nwnber

#

_____

Discussion Instructor (circle): Doug

Eric

Steve

1

Xiao

A

[5

pts.} Two diverging light rays, originating from the same point, have an angle

of30·

between them. After th

rays reflect from a plane mirror, what is the angle between them? A ray diagram might be useful.

-

AAJGalE 5eTwE

Tl1S M..

.s

B.

c.

[

pts.]

The image produced by a convex mirror is located

12

cm from the mirror. The radius

mirror is 58 cm. How far in front

of

the mirror is the object located?

di: -/2.4.

}=

- ~ :: -i

=- 21l.44.

I

I dif

1[+ Jo :;:J -? /If;

J

o

::

j i }

I

(-a)(::

_

de - -Iz.)-

(-1.,)

- 20.'17 CIA

[7 pts.]

The drawing shows a rectangular block ofglass (n = 1.52) surrounded

by

liquid carbon disulfide (n = 1.63). A ray

of

light is incident on the glass at point A

with a e

=

40.0· angle of incidence.

At

what angle of refraction does the ray leave

the glass at point B?

' .6';

5,,,,

('iO-)=- r2. $ ~ e . t .

Ci)1

:: 5,,3 (. : ' S,., '(0·):;

Lf3.S So

( , t L /

e

1

::. O-e.t.:: ?O_'-i;.Slr:::'16. 'lo

/.s:

~ 1 ( ¥ 'fZ·) :: /'b3 Sr1 e,

_ t ~ " (

1'2.

( ' u - 12, 5 e

c::7.3

- f)'" "/.i"i . / 1 T . l Z

-

30°

-

c

D. [6

pts.}

A farsighted person has a near point that is 48.0 cm from her eyes. She wears eyeglasses that are

designed

to

enable her to read a newspaper held at a distance

of26.0

cm from her eyes. Find the focal length

of

the eyeglasses

if

hey are worn 2.0 cm from the eyes. JV

l . f ( ~

l . . D o ' ( ~

/;. r,e. lIff..

A

8/20/2019 Physics 2020 Exam 5

6/27

Physics 2020

Summer

2007

Richard

Ingebretsen

EXAM 5

Name:

Student ID Number . . . _ _ . .

Discussion Instructor (circle): Doug Robert

Steve

Xiao

A.

[J 0 pts.} You are trying to photograph a bird sitting on a tree branch, but a tall hedge is

blocking your view. However, as the drawing shows, a plane mirror reflects light from

the bird into your camera. For what distance must you set the focus

of

the camera lens

B.

in order to snap a sharp picture of the bird's image? ..

W ~ I \ - t t- S, = (77-- - : ~ )

• -1-0. (\

e X

;4 .8 ja¥l

67, == ~ 9 _

[J 5

pts.}

The drawing shows a hor izontal beam of light that is incident

on a prism made from ice. The base

of

the prism is also horizontal. The

prism (n = 1.31) is surrounded by oil whose index of refraction is

1.51.

Determine the angle

8that

the exiting light makes with the normal to the

right face of the prism.

n,

n

I 1

0

I

,

8/20/2019 Physics 2020 Exam 5

7/27

Physics 2020

Summer

2007

Richard lagebretsea

EX MS

Namc:

Student ID Number

7 T

Eric

Robert Steve

3

Xiao

Two identical diverging lenses are separated

by

18 em. The focal length

ofeaeh

lens is -8.0 em. A 6

em

tall object is

located 4.0 em to the left of he lens that

is on

the left. Clearly label all images.

(a)

d i I l ~ ~

in the space provided. Ora t eale but not actual size.

(b)

[10 pis.] Determine the

-

J

_J

d 1

f

dUI

~ 7 c t ~ ; L t ~ i l ;

-/ d J ~ o -

du}

f

n the right

}

·

/ 1

\ ~ , . ,

/

d. 66 1rl: d O.6u

tty

-

~ 1 Y 1

(

J-U.66

cIII

8/20/2019 Physics 2020 Exam 5

8/27

Pbyslcs 1010

Summerlee,

Rlcbard IDlebretseD

4

EXAMS

lame:

Student ID Number

S ~ V .

~

iscussion Instructor (circle): Doug Eric Robert

-

L

A. h

A concave mirror

R

= 56.0 £ s

ecPtl;oject

a transparent slide onto a wall. The slide is located

~ distance of 39.0 cm from the mirror, and a small flashlight shines light through the slide and onto the mirror.

The height of the object on the slide is

1.40

em. What is the height of the image? Draw the ray diagram in the

space provided. (

J :

1 7 ~ ;

'

o

f tt r ~ i

ur)-r \

}>u/l1

,,) L -

) q -

N[ f l

It

t

C f ~ ;;7((1 }

h; - ft ~ v

-(f ~ Q

l '

d-

S p ( R ~

?ts..DIS.] A spotlight on a boat is y =2.7 m above the water (n = 1.33), and

theftght strikes the water at a point that is x

=

9.4 m horizontally displaced

from the spotlight (see the drawing). The depth of

he

water is 4.0 m.

Detennine the distance d, which locates the point where the light strikes the

bottom

from

the boat.

elf

-

8/20/2019 Physics 2020 Exam 5

9/27

Physics 2020

Summer Semester 2008

Richard Ingebretsen

1

XAM 5

t

,,- )

= Vi

YY\

Nrune: __ ~

unid:u _

Discussion TA (circle): Adam Bill

Doug

Erie

A

[6

pIs.]

Two plane mirrors are separated by 120°, as the drawing

illustrates. f a ray strikes mirror

M,

at a 6

1

= 70· angle

of

incidence,

fJe , does it

leave

mirror M,?

B.

c.

D.

[7

pIS.)

An

object is placed in front

ofa

converging lens in such a position that the lens

f=

13.0 cm)

creates a real image located 24.0 cm from the lens. Then, with the object remaining in place, the lens is

replaced with another converging lens f= 17.0 cm). A new, real image is formed. What is the image

distance

of

this new/image?J..--

J . : ; : . f ~

--pC I

;}z / :

~ i : / i ~ 1 ; t i

~ J ... .{ 1

(1 I

.... .

[ pIS.)

A convex mirror has a radius

0 ceo 72

cm. The image formed by this mirror is

10.1

em from the mirror. What is the object distance?

J.

-

.J J;r

d ( l ' - - , J 0(

~ -

t ~ ~ tAi

::: 11: ltfWl

[ pIS ] A farsighted worn r current eyeglasses and is using an old pair whose refractive

power is 1.655 diopters. Since these eyeglasses do not completely correct her vision, she must hold a

newspaper 42.00 cm from her eyes in order to read it. She wears the eyeglasses 2.50 cm from her eyes.

How far is her near point from her eyes?

1 ~ , 6 s J 0 / ( e r J )

, - f J

-r ~ 1 l

Ok

1 ;::: tfz z

I

S:;,3Q.M

8/20/2019 Physics 2020 Exam 5

10/27

Physics 2020


Richard Ingebretsen

Nrume:

____________________________

Discussion TA (circle

:

Adam

Bill

2

XAM 5

unid: U

Doug

A. [6 pts } A ray of light impinges from air onto a block of ice (n

=

1.309) at a 52.0° angle of incidence.

Assuming that this angle remains the srume, find the difference 8

icc

- 8

water

in the angles

of

refraction

when the ice turns to water (n =

1.333).

~ ~ . : ~ 1

4 , ~ - . - h ' J

B. [6 pts }

A candle is placed 12.0 cm in front

of

a convex mirror. When the convex mirror is replaced

with a plane mirror, the image moves 8.5 cm farther away from the mirror. Find the focal length of the

c.

convex mirror.

. ' c

'

di.-a.=

'2.c

__

\

-

=

-pI ,,,, _irror- h..s

c lfac:t

c f / e ~ U , . , .

[13 pts.} Two identical converging lenses with f =30.0 cm are 70.0 cm apart. A 12.0 cm tall object is

placed 100.0 cm in front of the first lens. What is the final height of the object (including sign)?

1

~ - - - - - - ~

I , , , - - - 8_k

0

~

I

-

-c::l;,

: : :

;:;:

.

Jiz.

-

o-z...

I I I

T= dj +

70

\

J. .

I

- - Y . S- /Z

~ ~ J

==

{S il

c

w ;r

8/20/2019 Physics 2020 Exam 5

11/27

Physics 2020


Richard Ingebretsen

Name:

DiscussionTA (circle):: Adam ( Bill

(

)

EXAM

5

unid: u

Doug Eric

A.

The drawing s h ~ \ v s h e path of a beam of light through several

layers ofdifferent indices of refraction. Let 8

1

= 62°. Show each

step and calculate each intermediate angle. 10,000 kIn

r

3

n = 1.0

n lA

1. [9pts.] What is 8

2

? 1,000 kIn - - -4- : : : : - ; ; I - - - -n-=-1-1

2

(\

oS lV) to 2- -- l ,

2)

S 'VI 01. D( -= ~ l - : ~ : r 3 J l ~ ~ - : - - - - n - = 1---

(\.

7...)

? \n (trt '4ft) -=0

(I

,4)

51n ::=

31

, (000 8

(1,'1)5'

V)

(3'1,

I

OoCB

}\O

n - e - ~

t}2.

-

V2.

&2.. :; 10 -ro 2

@

2.

[7

pts.] How much time does it take for light to go from A to B?

t..f.oI S ok

:.. (IODO

OCO",,)(I.1.) + ((0 000000 ,)(1,

VI V, · l 3 e . 8 ~ ) CJ) ~ ( q T . 3 T ) (3e

CO

' )(0

(39

:: S. q 0 o lo-::r:> .: Ic53 -t Co, 0 I 3 Lf s

8/20/2019 Physics 2020 Exam 5

12/27

Physics 2020


Richard Ingeliretsen

4

XAM 5

1

--

( :

Name: _ _ _ ....'_' , : _ l _ ~ ____

unid: U

Discussion

TA

(circle : Adam

Bill

Doug

Eric

A

B.

[7 pts.]

A shaving/makeup mirror produces an upright image that is magnified by a factor of 2.0 when

your face is

25

cm from the mirror. Find the radius of curvature of the mirror.

-J- ;- -t- -f -f ~ /f ::; 1-{ ~ ~ d E -:

Vtq p r ~ (11} )

I )

I(

>11 _ d.A

_ L I :;-tf '176-

( / 7 1 ? ~ ~ / . ~

} ~ ( )

,;;--:; Ut

-- -

r1)a

q .

--t--

-;;;-

J.- -

--h- ~

-r(-- J )

:r /:Ie 11)1{

) Pc f1}

~ i ; { - { ) = J .

f ~

Mo

.

[1J pts.]

A spotlight on a boat is y

=

2.7 m above the water (n

=

1.33), and the light strikes the water at a point that is x = 10.4 m

horizontally displaced from the spotlight (see the drawing). The

depth

of

the water is 4.0 m. Determine the distance d, which locates

the point where the light strikes the bottom from the boat.

l)t [S/IJPIf ~ 1/tV>;'tJ W-

~ v {

S/li1(

d ; ; S i f ) ~ )

5f);0

; ( f X / ~ - J t J y " : >

Q

;;X/f)

-foX/r;

8/20/2019 Physics 2020 Exam 5

13/27•

~ - - - -

-

Physics 2020

Summer

2009

Richard

Ingebretsen

Name: } ~ n ~ : ~ } ___________________

Unid: _

Exam 5

1

iscussion T A:

A.

B.

c.

D.

------------------------

[6 pts.] A mirror produces an image that is located 40.00 cm behind the mirror when the object is located 8.00

cm in front

of

the mirror. What is the focal length of

the

mirror?

~ - t OC

m I

I

~

I

I

-

~ g ; ; c ~ - -

r; -t ~ -; 1

{

uo·oo

00

f 9 ] {==

:1 ~ {OCiYJ _

[6 pts.} Two plane mirrors are separated by 130°, as the drawing illustrates.

If

a ray strikes mirror

M]

at

an angle

9]

=

25°,

at

what

angle

9

2

does it leave

mirror M2?

[7 pts.] For each of the three sheets of polarizing material

shown in the drawing, the orientation of the transmission axis

is labeled relative to the vertical. The incident beam

of

light

is unpolarized and has an intensity

of

1370.0

W/m

2

•

What

is

the intensity of

he

beam transmitted through the three sheets

when 9] = 19.0° and 9

2

53° and 9

3

100.0° ?

OS

I

pOltP;i ~ y WlIf r

8/20/2019 Physics 2020 Exam 5

14/27

Physics

2020 Summer

2009

Richard Ingebretsen

Name:

Unid:

Exam 5

Discussion TA:

A.

{JO

pts.}

The drawing shows a rectangular block

of

glass (n ' 1.51)

surrounded by liquid carbon disulfide (n ' 1.30). A

ray

of light

is

incident

on the glass at point A with an angle

of

incidence of 30.0°. At what angle

of

refraction does the ray leave the glass assuming the light does hit the top

surface?

\ I ;:: I. 30 n?

-:;

I, 5 I

n

51

n30

fJ

=- n:l- S / /) it --7 &2 :::- 51 f -I ( ~ ~ ~

i 1'30

I & =- s r

n/

( Pst s

() 3d)

=

z5,

.5

0

2

g

-

90°

-

~ ~

-

Cf

0°

-

:25.5

9

=-

b

f,

,,0

wttA115

.

-ro-k I

/f)titnef

I

reflec

t09' t

of

C / t U i / l C e . . - ~

)

S l 19

3

::::-

f), S I ~ \ ty fI ..

sf

[fA -;:-

lIS/ne.,.

-7 51 , rtf:::

it

Sr

S

i ~ : : =

) ) G ~ n o f -be

_ -=:-

I SI/1 (-;s.s ) - 1 3 ~ o ]

1\ 11

n

I 1117

3 So ked

-7

TotPl I

(t1-c

r

lVt l

r t

t clio

B.

7 pts.]

A farsighted person has a near point that

is

46.9 cm from her eyes. She eyeglasses that are

designed to enable her to read a newspaper held at a distance

of

24.0 cm from her eyes. Find the focal length of

the eyeglasses, assuming that they are worn 3.00 cm from the eyes.

N

'fGI

9ctr)

d

d

L

-::

--

(N-d) :::

{8 pts.} A narrow beam of ultrasonic waves reflects offa liver tumor as shown.

If

the speed

ofthe

wave is 20 less in the liver than

in

the surrounding tissues,

detennine the depth of he tumor.

n::: -7 () -

~

~

_C_

V

L - VI-

O: 6V

t

o,'6'n.

:: .f.- - j

..-

V-.r- +

n

5,' ]

50

0

== n

.-

5 1 1) eX q$t1l-.s;

(/150

0

::: I I - sill 0<

1

12.0

em

III

I

I

H

/#

,

,

,

0

::: Sjil-

I

(0. t - 1 l 5 0 ~ : = 37.

7

q

o

-r01)

0

: : :

~ ~ J .

-7

d

=

~ ~ - ;

=

; ~ ~ ~ ~ 7 . 7 q · }

=[7.

8/20/2019 Physics 2020 Exam 5

15/27

Physics 2 2

Summer

2 9 Richard Ingebretsen

Name: d

; \

Unid: _________________________________

xamS

Discussion TA: ______________________ _

A A converging lens of focal length 20.0 cm is 50.0 cm to the left

of

a converging lens of focal length

5.00 cm. An object is placed 35.0 cm to the left ofthe left lens.

1. [10

pIS.} Find the final image distance relative to the lens on the right.

2.

[5

prs }

If

the height

of

the object is 2.00 cm, what is the height

ofthe

final image?

3. [ pIS.} Is the image real or virtual?

3

B.

[ 8 prs } A ray

of

light impinges from air onto a block of ice

n

1.309 at a 70.0° angle

of

incidence. Assuming

that this angle remains the same, find the difference h, ice - 8 , water in the angles of refraction when the ice turns to

water n = 1.333 .

8/20/2019 Physics 2020 Exam 5

16/27

-:t.;:?

'2-0

,

.

t

0

. ( - ' - -

IS -

So

J

\

1.. ...

-

--

-

J.,

-

,0

Q

j ~

•

1

@ 5 - 4C .

( 9-

::

4 ~ .

~ : : .

. .

j ; r

)..- .

Q

J

::

?o

.

30

r-

3 1 - 2 0

..\

-

-o

::::

-i-eS;: ) 3-

l -+

\

:;..

-

~ f j

I

s

\

5

r--

7 0

-

::

~ . r

20 ~

l.i {, •

(, ;f

c.

-+1::1

~ c : .

r

~ ...-\

-

eJW

.

1," >'?>

-- r

S · ~ , 3))

--ev

::: - : ; . 8} ' Cw,

2..

8/20/2019 Physics 2020 Exam 5

17/27

\ \

, C;

:::.. ~ 2 . .

S I

V\ l.. --- P

8

~ • -

' ( S . i ' ~

')

. . - It

.

h. ..

\

) - s,

I (

.

PJ 0

s· .:;

, (

8/20/2019 Physics 2020 Exam 5

18/27

Physics 2020 Summer

2009

Richard Ingebretsen

Name: ;1 ; I

4

nid:

_____________

xamS

Discussion TA: __________

A.

[14

pts.} An object is 22 cm in front of a diverging lens that has a focal length of -11 cm. The object is now

moved until the new image is reduced by a factor

of

2.5 compared to the original image. What is the new object

distance?

c.

U

::: /

Q C,.

ffJ

j ; - /I

C

YJ1

J-:: .J - 1.

:::)

Ii'

f

U

r

I

. - - .::.(

/I cfl. 2.

I _

-

-

V

I

-

2-

2.. )

.......

.3

>

3

~

j - ,

cJ·J-- 7 s-

1/ =:

Q.2.

c .

Y)-?

'3 '

I /

-- -

- U 1/

I .

-;;- -

::: -

-

LI

LI

[11

pts. An object is located

14.0

cm

in

front ofa concave mirror, with the image

7.00

cm in front

of

the mirror

A second object, one third as tall as the first one, is placed in front of the mirror, but at a different location. The

image of this second object has the same height in magnitude only) as the fIrst image, but the orientation is

flipped. How far in front of the mirror is the second object located?

U::

I

y. OC'rlt..

\; -: 7 ~ C J t I Y u

; : ; ~ - 1-

I l {

v

~ t . 1

7

{

J

- -

.....

, ~ - - ~

~

1=

_ - .7ix3

8/20/2019 Physics 2020 Exam 5

19/27

Name:

Unid:

_______________

Discussion

TA: ~ O l 1 j

h ~ ~ j ke.

Exam 5

1

Show all Work Circle your answer(s).

A. [6 pIS ] A radio wave is traveling through quartz (index of refraction = 1.67). The shortest distance between

positions

at

which the electric and magnetic fields are zero is 0.266

m.

Determine the frequency of this radio

wave in air.

711

l

I 111 V

=

C. ::. :: -

V

1=

A ~ : : 1.57)(10 111

B. [6 pIS }

When Mary

Ann

looks

in

a convex mirror

held

20.0

cm

away, she sees herself magnified

114

times. Wha

is the radius

of

curvature of the mirror?

d

I

=

I I

/

-

dv

/lr1 ::: -

t

~ = ~

It

, .

3

..:l

d

J

i

Q

f

2

J

-

1

R

d.,

- -

-

-

dv

1.,

5

clo

= 3

(J

:l. ;; 't 3():::

1>. 3

'-

-

1'=

l d ~

C. [6 pIS ] Two diverging light rays, originating

from

the same point, have an angle of 30

0

between them. After the

rays are reflected from a plane mirror, what is the angle between them?

,

,

D.

[7

pIS ]

In

an experiment designed to measure the speed

of

light, a laser

is

aimed

at

a mirror that is 51.5

km

due

north. A detector is placed 116 m due east of the laser. The mirror is to be aligned so that light from the laser

reflects into the detector. When properly aligned,

what

angle should the normal to the surface of the mirror make

with due south?

8/20/2019 Physics 2020 Exam 5

20/27

ummcr

2010

Richard

Ingclnctscn

Nrune: _____________________________

Vnid:

__

Discussion TA: 5 t > \ j - h ~ e . ,

~

Exam 5

2

Show ll Work Circle your answer(s).

- r -

I --

6

..

~

c- l J

2 J r . s ( ~ 1 - i J . ~ n s m i t t a l

A.

The drawing shows three sheets

of

polarizing material, each

with its transmission axis oriented differently. Light that is

unpolarized in the vertical direction is incident from the left

and has an average intensity of 36

m

2

• All angles are

measured from the vertical. 8

1

=30°,82 =60°, 8

3

=

120°

1. [5 pIS.] What is the intensity after the light has

passed through all three sheets?

- I -

1.::. C - o : : ' ( ~ I - ttl- iA:;''' 0 1 )1.,

vertical

== 1 ( ; , > t 3 o : J ) L - o ~ ' " ( 6 0 · ) d 6 [ t , ) / r .... J:;.

~ 3 7 [ w / / M ~ J

.l..

2. [2 pIS.] What

is

the intensity leaving polarizer 3

if

polarizer 2

is

removed?

1 =

1

e

I -

e

)

i [ ~ I f>A) J I / o· )

Iv

:: 6

B. A slide projector has a converging lens whose focal length is 119 mm.

1.

[6

pIS.}

How far from the lens must the screen be located

if

a slide is placed 124 mm from the lens?

d ::: J.J

2

11)(Ur) =. t 1 t { , . ( ~ { , q ~ [ " . , ]

• d o - ~ 1

2

if.-111

2. [6pIS.} If the slide measures 27.0 mm x 37.0 mm, what is the area of the projected image?

,/, Z1

X iIrI ::

64

Z .6

31 1. r foil

: :

$3

0

. 6

C. [6 pIS. A point source

of

light is submerged 2.2 m below the surface of a lake (n = 1.33) and emits rays in all

directions. On the surface of the lake, directly above the source, the area illuminated is a circle. What is the

maximum area that this circle could have?

t -=

1 •2.. X ~ C ( I I G (

.: 2,s-/ [

8/20/2019 Physics 2020 Exam 5

21/27

P h ~ s i c s 2U2U

Summer

20 I () Richal-d Ingciwctscn

Name:

KJ;\ .

ff M LUall

o

Unid:

J____

3

xam 5

Discussion TA:

Show all Work Circle

your

answer(s).

A.

B.

c.

[7 pts } A farsighted person has a near point that is 48.0 cm from her eyes. She wears eyeglasses that are

designed to enable her to read a newspaper held at a distance of 26.0 cm from her eyes. Find the focal length of

the eyeglasses, assuming that they are worn 3.0 cm from the eyes?

Jo

~

2 - ~ ' ? : ' - 2. ( 2

'

)

J;

:::

-

(4-& ~ ) ~ - 4 - ~

f

_ c t ~ d ;

-

tL + a1.

£ If

I

CbVt C2-

t )

I

~ ~ ~ c l ; 1

< ; ( ~

i-=-4-i e M I)

[6

pts.

The drawing shows an edge-on view of the solar panels on a

communications satellite. The dashed line specifies the normal to the panels.

Sunlight strikes the panels at an angle () with respect to the normal. If he solar

power impinging on the panels is 2626 W when () 66°, what is it when

() =22°?

( (

,

)

p :: Po 00

66{:

;::.

P ::-

Po

us :2

2 ::

1::{ (1')

P1>

:::

( ; . : r I , 6 ~

l f )

P C O ~ 2 2 Q

CP7{6"

C

:k'

)

l l

[12

pts.

In

the movie Despicable Me, the villain "Vector" (who has both magnitude and direction, but has eyes

only 1.10 m above the ground) has a great white shark as a pet. The shark lives in an aquarium filled with clear

orange flavored soda pop (n = 1.33) which is the living room floor. When entering the room from the kitchen,

Vector sees the front

of

the shark at 40° below the horizontal through the Plexiglas floor that is 11 cm thick. The

shark is 1.50 m below the Plexiglas (n = 1.52). How far is the front

of

he shark from Vector's eyes?

( 2 )

1.1 m t f < f ~ -

e

:C '

V1 -

I

C )c,

> ; ~

p ;;

IJ

' ) ::::

~ ~ D , b i o

d

:::

B ].::. (\ ",,-I ( ;,

(V)

~ ~ ~ _ ~ _ ~ )

' t ' \ ~ (,-\l

d ::

r,

I

\),1.)

(\ ~ I

I IV\

d).

-;

0 r , 1

·t Cv,\'dj

\

d

=-

I,

) ;

-GW t

(

"

)

( ( )

(

( )

d

==

>.-6\ Vt1

:( (

I I )

t 11 e

tum

8/20/2019 Physics 2020 Exam 5

22/27

in sics 2020

Summel

20](

~ i c h n l I ngcb,'ctscn

Name:

_ . . J . . . . . . : . ; : : ; . . ; ; . . . ; . - - I - - C L = G _ ~ W ~ : . . : : : . . : ; . . ~ ~

Vnid:

Exam 5

Discussion TA:

Show all

Work

Circle your answer(s).

A.

An object is standing to the left

of

a diverging lens

(f=

-8.0 cm). A

converging lens (f= 6.3 cm) is 21 cm to the right

of

he diverging lens.

The image created by the diverging lens is a distance of 5.0 cm from

the diverging lens. (Drawing is not

to

scale.)

1.

[J 0

pts ]

How far is the final image from the object?

( \ t \ j

d ~ t

r : : T t ~

([)

~ t : : : 9 : f

d ~ : : :

11 (( I )

u ~ f

4

d ~ :: 2r- 6 .

6

.?z ( 2;')

d ~ ::. f, ~

(1·7

d-.:: 4'2,6

CMA

2.

[5 pts ]

What is the height

of

he final image if the object is 2.0 cm tall?

q -: -.h.L.

J w

lq I - -; .. (

I ' ) ,

c:

L-

, ( r )

g s(

~ -: - 0 (24- UN\ C i I ) err

for

..rk

C;, I ) t r

~

3. [2 pts ] Is the final image virtual

or

real? V\A1

lA

tillM

R.e C\-

. ---:; cd I

CLr

~ T ~

u . ~

4. [2 pts ] Is the final image inverted or upright? / , I 0 • /Iv\)

1

v e . ~ ¥ t . e t ~

-

port

a,

(

f

B. [6

pts ]

A magician (1.5 m tall) is standing 2.7 m from a concave mirror with a radius of curvature of 3.6 m.

How tall is his image?

.f ~

(I ) -t

= + t do (1- ')

- d , (, )

M : ' - Jl

8/20/2019 Physics 2020 Exam 5

23/27

Nrune: __________

Unid:

xamS

1

iscussion T A:

-----------------------

A. [7

pts.]

A mirror produces an image that is located 35.0 cm behind the mirror when the object is located 7.6 cm

in front

of

the mirror. What is the radius

of

the mirror?

do =

7.

b

a:

:: 35·0 OW

l

::: l-t-

J..

= _\

.l.

r d. d: I.b 35'

B.

[6 pts.]

Two diverging light rays, originating from the srune point, have an angle

of

25° between them. After the

rays reflect from a plane mirror, what is the angle between them? A ray diagram might be useful. ' .

~ a

ret etA-;ov\:

6,

e J , .

=

13::::- ey

-

• o

e ~

I, .S 0 ,, ?ave

h o ~ ~ ) Y l 1 u 1 1

t.\rJ

l{;o :;--

eli

J).5°

b ~ \ o w h o r \ ~ n - b

l.

;

-

11.

SU

Il. O

;:::

.

EJ

c.

[5 pts.] One method of determining the refractive index ofa transparent solid is to measure the critical angle

when the solid is in air. Ife

e

is found to be 40.9°, what is the index of refraction of the solid?

VII:: LM

k ~ v v n

V\d-

, i r :::

1..

D. [7 pts.]

Amber (n

=

1.546) is a transparent brown-yellow fossil resin.

An

insect, trapped and preserved within

the runber, appears to be 2.3 cm beneath the surface, when viewed directly from above. How far below the

surface is the insect actually located?

d ~ d

~ ~ )

I.SLJb

=

i

8/20/2019 Physics 2020 Exam 5

24/27

Physics 2020 Summer 2011

Richard

Ingebretsen

.,.

;

• W:lI'''''''(, ,)I(

••

' ' . ~ J ' ' J W : ; ' ' : I I ( . ' ' ' ' •• lf\i

Name: . . , ; ; , . . . L . ~ ~ ; ) . . . . l . L _ -

Unid:

xamS

Discussion TA:

A. [13 pts.j A horizontal beam

of

light is incident on face A

of

the prism

(n 1.48), which is surrounded by water (n =

. 3 ~ ) ,

as ~ h o w n in the drawing. ~ ; 3

A

Find the angle that the beam emerges from the pnsm With respect to the nonnaL

2

~ A - l 1 . ~ ~ C f 1 ~ I 09....

B

() ::; /,

l t ~ S ~ &4- G '1

:::

0

'0 f C.-1Y'.e::. ifD 1

~

f \ l ? ~

~

~ . . .

z..

5/.h 9 Z

{j- .

= / l J ~ ~ 51 . 70)

r

z;/

f r , ~ ~ {

rc

l e ~

..

7

0

°,/ (;Jc'64 0

B,

-:::-&r

~ @- ,?y;: 51), -( ~

s f

.. 5 0)

S ~ S o

B.

[12

pts.j

An object is 22 cm

III

ont

of

a diverging lens that has a focal length

of

11

cm. The object is now

moved until the new image is reduced by a factor of 2.5 compared to the original image. What is the new object

distance? Ec.Ster

Wev..

h l re, ( ElhcJ f

: :

=

,

s-

f:: -/I u.

u ~ Y ) ~

~ . . ' ' ~ . l

-r, ',.. /'\

;: 1..,5 = - ' j ~ _

;

£

-r,{

01-

-

rol lP-

J,

(

t

,)-I

7-;:;

- ( I I

)-

f.

- ~

(

J....

l \ -1

(J- 2-,5 1& p. -10)

f '

-

-----

I"DI-

I ..L ..L

( f= k + . / ~ - o

t s t ~ ~ ~ ~

(

do

=

1.

S-

- 1

8/20/2019 Physics 2020 Exam 5

25/27

Physics 2020

Summer

2011

Richard

Ingebretsen

Name: _

Unid:

________________________________

_

Exam 5

3

iscussion T A:

- - - . 1 4 , b - - = = ; ; ~ V ' ~ - - - - - - - - - - - - - - - -

A.

[9

pIS.}

Bill is farsighted and has a near point located 1 ] 9 cm from his eyes. Anne is also farsighted, but her near

point is 72.0 cm from her eyes. Both have glasses that correct their vision to a normal near point (25.0 cm from

the eyes), and both wear glasses 2.0 cm from the eyes. Relative to the eyes, what is the closet object that can be

seen

by

Bill when he wears Anne's glasses?

I

f

1

'1 L

-

I 1.1-

[ J-

;.J do ; 't$'-2. ' >

' Z . ~ e l 4 , d;::

'(7t.'2)

:- -10

c .. I s.

f

;.

J:

i fltoo..ie

= ~ o d,;. J ::

Li -'1-

::

1'-/.2

@ W ~ ~ J ~ e t t > iltSQ ( s.

f'

; 3 ~ . z s r - CJ.u., OA - (U 1- Z.} -;

-(l1

C '-1. ~ o \ J

J

1- + j.. ::E

1-:

~ _J..

S'l

J. :::; f ; t J ' ~

- -

, 1 1 ~ l - ~ \

+11

J- ::. 21. S'CI..i

f -

do

0....

00

.

..t

I

o ~ "

I

fl

...l

L ~ ·

I

~ - - - , - -

lVt>v I i . " w,..1; rt.. 4 ; ' ; ~ , , - e . ..I . h'..-L ~ kt: ..

~

ZL.b +1. ::: 12'6.S

c;]

B [8

pts.

A lamp is twice as far away from a plane mirror as a person is. Light from the lamp reaches the person

via two paths: It strikes the mirror at a 25.0° angle

of

incidence and reflects from it before reaching the person

and secondly, it travels directly

to

the person without reflecting. Find the ratio oftravel time along the reflected

path to travel time along the direct path.

C. [8 pIS.}

A candle is placed 15.2 em in front of a convex mirror. When the convex mirror is replaced with a plane

mirror, the image moves 6.1

em

farther away from the mirror. Find the focal length of the convex mirror.

8/20/2019 Physics 2020 Exam 5

26/27

8/20/2019 Physics 2020 Exam 5

27/27

) h ~ s i c s 2U2U Summer 2011 Richanl Ingcbn. ts(·n

Jill,,"".'" . f t . U I P

I ll

II n •

t . .

li

Nrune:

__

~ L ~

4

nid: _

xamS

Discussion TA: _

A.

B.

A glass paperweight with an index of refraction n rests on a desk (see

drawing). An incident ray of light enters the horizontal top surface of the

paperweight at an angle e

=

68° to the vertical.

1.

[8 pts } Find the minimum value of n for which the internal reflection on

the vertical surface of he paperweight is totaL

t4

(Cit \

q S S e ~ t ~ o u ~ h :l ; v 1 t e r ~

Q

c,e ; ~ ~ . = )

~ o r 1 ~ \ I \ , G)

As

G ).. ;Y1C vtQ)t) DVl +It.t lin-terVQ [ lOJdqOOJ

1

I') d € G r - e q ~ e S .

A diverging

lens(f=

-10.5 cm) is located 40.0 cm to the ri

to

a convergmg lens (f= 15.0 cm). A 3.00 cm tall

object stands

60.0cm

to the left of the converging lens.

1.

Documents

Physics 2020 Exam 5