Question 1

A thin lens of focal length 12.5 cm has a 5.0 cm tall object placed 10 cm in front of it.Where will the image be formed?

Accepted Answer

A)  2.5 cm behind the lens 
B)  5.6 cm behind the lens 
C)  5.6 cm in front of the lens 
D)  50 cm behind the lens 
E)  50 cm in front of the lens 
A)  2.5 cm behind the lens 
B)  5.6 cm behind the lens 
C)  5.6 cm in front of the lens 
D)  50 cm behind the lens 
E)  50 cm in front of the lens

Question 2

1.76m tall man looks at his reflection in a plane mirror.He stands 4.2m away from the window.How far from his eyes are the images of his feet? Assume his eyes are 5cm below the top of his head.

Accepted Answer

A)  8.4m 
B)  11.1m 
C)  4.2m 
D)  4.53m 
A)  8.4m 
B)  11.1m 
C)  4.2m 
D)  4.53m

Question 3

A ray of light enters an equilateral prism made of material with n = 1.45.What angle of incidence, $\theta$ ,will cause the internally refracted ray to be parallel to the base of the prism?

Accepted Answer

A)  46.5$^{\circ}$ 
B)  30.0$^{\circ}$ 
C)  20.2$^{\circ}$ 
D)  5.70$^{\circ}$ 
E)  this cannot happen 
A)  46.5$^{\circ}$ 
B)  30.0$^{\circ}$ 
C)  20.2$^{\circ}$ 
D)  5.70$^{\circ}$ 
E)  this cannot happen

Question 4

The critical angle for total internal reflection is a:

Accepted Answer

A)  is a single angle for which transmission through the boundary is zero 
B)  a maximum angle of incidence,below which no light is transmitted through the boundary 
C)  minimum angle of incidence,above which no light is transmitted through the boundary 
D)  may be either a minimum or a maximum angle,depending on which of the indices of refraction is larger 
A)  is a single angle for which transmission through the boundary is zero 
B)  a maximum angle of incidence,below which no light is transmitted through the boundary 
C)  minimum angle of incidence,above which no light is transmitted through the boundary 
D)  may be either a minimum or a maximum angle,depending on which of the indices of refraction is larger

Question 5

A light ray goes through two thick rectangular slabs of glass,each of the same uniform thickness.The first slab has index of refraction n1 and the second n2.If n1 2.How does the original angle of incidence $\theta$i into the first slab compare to the final angle of refraction $\theta$f where the ray leaves the second slab going back into air?

Accepted Answer

A)  $\theta$i > $\theta$f 
B)  $\theta$i f 
C)  $\theta$i = $\theta$f 
D)  $\theta$i = (n1/n2)$\theta$f 
E)  more information is needed 
A)  $\theta$i > $\theta$f 
B)  $\theta$i f 
C)  $\theta$i = $\theta$f 
D)  $\theta$i = (n1/n2)$\theta$f 
E)  more information is needed

Question 6

What is the critical angle for diamond (n = 2.42)?

Accepted Answer

A)  2.42$^{\circ}$ 
B)  67.5$^{\circ}$ 
C)  65.6$^{\circ}$ 
D)  24.4$^{\circ}$ 
E)  37.1$^{\circ}$ 
A)  2.42$^{\circ}$ 
B)  67.5$^{\circ}$ 
C)  65.6$^{\circ}$ 
D)  24.4$^{\circ}$ 
E)  37.1$^{\circ}$

Question 7

When an object is reflected in a plane mirror,the image is always

Accepted Answer

A)  Virtual 
B)  Real 
C)  Inverted 
D)  None of these 
A)  Virtual 
B)  Real 
C)  Inverted 
D)  None of these

Question 8

Specular reflection occurs whenever

Accepted Answer

A)  rays reflect from a surface. 
B)  rays reflect in all directions from a surface. 
C)  rays reflect at only one angle from a surface. 
D)  parallel rays reflect at the same angle from a surface. 
E)  visible light rays reflect. 
A)  rays reflect from a surface. 
B)  rays reflect in all directions from a surface. 
C)  rays reflect at only one angle from a surface. 
D)  parallel rays reflect at the same angle from a surface. 
E)  visible light rays reflect.

Question 9

A ray of light enters an equilateral prism made of material with n = 1.45 at an angle of incidence $\theta$.The internally refracted ray is parallel to the base of the prism.What is the angle of refraction for the ray leaving the prism?

Accepted Answer

A)  46.5$^{\circ}$ 
B)  30.0$^{\circ}$ 
C)  20.2$^{\circ}$ 
D)  15.7$^{\circ}$ 
E)  the ray won't leave the prism 
A)  46.5$^{\circ}$ 
B)  30.0$^{\circ}$ 
C)  20.2$^{\circ}$ 
D)  15.7$^{\circ}$ 
E)  the ray won't leave the prism

Question 10

A small object is enclosed in plastic (n = 1.5).The object appears to be 4.0 cm below the surface.What is the actual distance of the object below the surface?

Accepted Answer

A)  2.0 cm 
B)  2.7 cm 
C)  4.0 cm 
D)  5.5 cm 
E)  6.0 cm 
A)  2.0 cm 
B)  2.7 cm 
C)  4.0 cm 
D)  5.5 cm 
E)  6.0 cm

Question 11

An object is placed at the focal point of a converging lens and the light rays from the lens will be parallel to the principal axis.The object is now moved closer to the lens.Which statement is true about the light rays from the lens?

Accepted Answer

A)  the will remain parallel to the principle axis 
B)  they converge toward each other 
C)  they emerge parallel to each other but not the principle axis 
D)  they diverge from each other 
A)  the will remain parallel to the principle axis 
B)  they converge toward each other 
C)  they emerge parallel to each other but not the principle axis 
D)  they diverge from each other

Question 12

An innovative physics professor conducts laboratory exercises in the college swimming pool.Suppose that one exercise was the measurement of the degree of polarization by bouncing laser light off a surface of a crystal.A laser bounced off the crystal surface is found to be perfectly polarized when the angle of incidence of the laser beam is 57 degrees from the vertical.What is the index of refraction of the crystal? It will help to recall that the index of refraction of water is 1.33.

Accepted Answer

A)  1.17 
B)  1.12 
C)  1.54 
D)  2.05 
A)  1.17 
B)  1.12 
C)  1.54 
D)  2.05

Question 13

You are conducting an experiment with a converging lens and have set it up to produce a real image of a tree in the distance.You then cover the top half of the lens with opaque paper.What occurs?

Accepted Answer

A)  The bottom half of the image is missing 
B)  Nothing happens 
C)  The image becomes half as large 
D)  The image is complete,but dimmer than it was 
E)  The top half of the image is missing 
A)  The bottom half of the image is missing 
B)  Nothing happens 
C)  The image becomes half as large 
D)  The image is complete,but dimmer than it was 
E)  The top half of the image is missing

Question 14

When light is totally polarized by reflection at an interface between two materials where the index of refraction for the incident medium is n1 and for the other is n2,the incident angle is given by $\theta$ = tan-1(n2/n1).This equation holds

Accepted Answer

A)  only when n2 > n1. 
B)  only when n1 > n2. 
C)  only when n2 > n1 + 1. 
D)  only when n2 1 + 1. 
E)  for all values of n1 and n2. 
A)  only when n2 > n1. 
B)  only when n1 > n2. 
C)  only when n2 > n1 + 1. 
D)  only when n2 1 + 1. 
E)  for all values of n1 and n2.

Question 15

Which of these statements is true for the image formed by spherical mirror?

Accepted Answer

A)  real images of real objects are always inverted 
B)  virtual images of real objects are always in front of the mirror 
C)  virtual images of real objects are always upright 
D)  real images are always in back of the mirror 
A)  real images of real objects are always inverted 
B)  virtual images of real objects are always in front of the mirror 
C)  virtual images of real objects are always upright 
D)  real images are always in back of the mirror

Question 16

Brewster's angle for a given interface is _______________ the critical angle for total internal reflection for the same interface.

Accepted Answer

A)  always greater than 
B)  either greater than or less than. 
C)  always less than 
D)  always equal to 
A)  always greater than 
B)  either greater than or less than. 
C)  always less than 
D)  always equal to

Question 17

In a laboratory experiment,you are given two unknown substances and a laser.One of the substances is a liquid in which you place the laser.The other is a tank made of a transparent solid.You aim the laser downward at the tank bottom - and find that the reflected ray is fully polarized when the angle of incidence is 54$^{\circ}$.What is the transmitted angle for the ray transmitted into the tank bottom?

Accepted Answer

A)  39$^{\circ}$ 
B)  47$^{\circ}$ 
C)  can't answer this without knowing the indices of refraction. 
D)  36$^{\circ}$ 
A)  39$^{\circ}$ 
B)  47$^{\circ}$ 
C)  can't answer this without knowing the indices of refraction. 
D)  36$^{\circ}$

Question 18

It is found that a laser bounced off a glass surface is perfectly polarized when the angle of incidence of the laser beam is 57 degrees from the vertical.What is the angle of the transmitted beam in the case of this material?

Accepted Answer

A)  29$^{\circ}$ 
B)  43$^{\circ}$ 
C)  33$^{\circ}$ 
D)  40$^{\circ}$ 
A)  29$^{\circ}$ 
B)  43$^{\circ}$ 
C)  33$^{\circ}$ 
D)  40$^{\circ}$

Question 19

An object is placed 60 cm in front of a mirror and the image is upright and 1/4 the size of the object.What is the focal length of the mirror?

Accepted Answer

A)  -12 cm 
B)  -20 cm 
C)  -45 cm 
D)  -75 cm 
E)  some positive value not given 
A)  -12 cm 
B)  -20 cm 
C)  -45 cm 
D)  -75 cm 
E)  some positive value not given

Question 20

Two plane mirrors are joined at a right angle.A beam of light is shone on one of the mirrors at an angle of incidence of 22 degrees,such that the reflected ray strikes the other mirror.What is the angle of incidence for the beam that strikes the second mirror?

Accepted Answer

A)  23$^{\circ}$ 
B)  68$^{\circ}$ 
C)  43$^{\circ}$ 
D)  22$^{\circ}$ 
A)  23$^{\circ}$ 
B)  68$^{\circ}$ 
C)  43$^{\circ}$ 
D)  22$^{\circ}$

Exam 23: Reflection and Refraction of Light

A thin lens of focal length 12.5 cm has a 5.0 cm tall object placed 10 cm in front of it.Where will the image be formed?

1.76m tall man looks at his reflection in a plane mirror.He stands 4.2m away from the window.How far from his eyes are the images of his feet? Assume his eyes are 5cm below the top of his head.

A ray of light enters an equilateral prism made of material with n = 1.45.What angle of incidence, θ\thetaθ ,will cause the internally refracted ray to be parallel to the base of the prism?

The critical angle for total internal reflection is a:

What is the critical angle for diamond (n = 2.42)?

When an object is reflected in a plane mirror,the image is always

Specular reflection occurs whenever

A ray of light enters an equilateral prism made of material with n = 1.45 at an angle of incidence θ\thetaθ .The internally refracted ray is parallel to the base of the prism.What is the angle of refraction for the ray leaving the prism?

A small object is enclosed in plastic (n = 1.5).The object appears to be 4.0 cm below the surface.What is the actual distance of the object below the surface?

An object is placed at the focal point of a converging lens and the light rays from the lens will be parallel to the principal axis.The object is now moved closer to the lens.Which statement is true about the light rays from the lens?

You are conducting an experiment with a converging lens and have set it up to produce a real image of a tree in the distance.You then cover the top half of the lens with opaque paper.What occurs?

When light is totally polarized by reflection at an interface between two materials where the index of refraction for the incident medium is n1 and for the other is n2,the incident angle is given by θ\thetaθ = tan-1(n2/n1).This equation holds

Which of these statements is true for the image formed by spherical mirror?

Brewster's angle for a given interface is _______________ the critical angle for total internal reflection for the same interface.

It is found that a laser bounced off a glass surface is perfectly polarized when the angle of incidence of the laser beam is 57 degrees from the vertical.What is the angle of the transmitted beam in the case of this material?

An object is placed 60 cm in front of a mirror and the image is upright and 1/4 the size of the object.What is the focal length of the mirror?

Two plane mirrors are joined at a right angle.A beam of light is shone on one of the mirrors at an angle of incidence of 22 degrees,such that the reflected ray strikes the other mirror.What is the angle of incidence for the beam that strikes the second mirror?

Introduction

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When light is totally polarized by reflection at an interface between two materials where the index of refraction for the incident medium is n₁ and for the other is n₂,the incident angle is given by $\theta$ = tan^-1(n₂/n₁).This equation holds