Question 1

The index of refraction for a certain material is $1.399$ for red light and $1.432$ for blue light. Light containing both of these colors is traveling in vacuum and strikes a flat sheet of this material. Find the angle separating the two colors in the refracted light in the sheet if the angle of incidence is $60.00 ^ { \circ }$.

Accepted Answer

The answer of The index of refraction for a certain...

Question 2

A wrench is placed at $30 \mathrm {~cm}$ in front of a diverging lens with a focal length of magnitude $10 \mathrm {~cm}$. What is the magnification of the wrench?

Accepted Answer

A)  $0.67$ 
B)  $- 0.25$ 
C)  $4.0$ 
D)  $- 0.67$ 
E)  $0.25$

Question 3

A person jogs toward a plane mirror at a speed of 3 m/s. How fast is he approaching his image in the mirror?

Accepted Answer

A)  5 m/s 
B)  1 5 m/s 
C)  6 m/s 
D)  4 m/s 
E)  3 m/s

Question 4

A certain slide projector has a lens of focal length 15.0 cm. This lens forms an image
measuring 100 cm × 100 cm on the screen when a slide whose dimensions are 50.0 mm ×
50.0 mm is being magnified. How far from the lens should the screen be placed?

Accepted Answer

The answer of A certain slide projector has a lens...

Question 5

A statue that is 10.4 cm tall is placed 4.8 cm in front of a concave lens. The image is 4.0 cm from the lens. How tall is the image?

Accepted Answer

A)  13 cm 
B)  5.4 cm 
C)  8.7 cm 
D)  1.8 cm

Question 6

A thin laser beam traveling in air strikes the surface of a glass plate at $41.2 ^ { \circ }$ with the normal. In the plate, this beam makes an angle of $22.4 ^ { \circ }$ with the normal. What is the speed of light in this glass? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

Accepted Answer

The answer of A thin laser beam traveling in air...

Question 7

An object is placed 9.5 cm in front of a convex lens with a focal length of magnitude 24 cm.
(a) Where is the image formed and how far is it from the lens?
(b) What is the magnification produced by the lens?

Accepted Answer

The answer of An object is placed 9.5 cm in...

Question 8

A statue that is 2.3 cm tall is placed 15 cm in front of a convex mirror. The magnitude of the
radius of curvature of the mirror is 18 cm.
(a) Is the image real or virtual?
(b) How far is the image from the mirror?
(c) Is the image upright or inverted?
(d) How tall is the image?

Accepted Answer

The answer of A statue that is 2.3 cm tall...

Question 9

A double-convex thin glass lens has equal-magnitude radii of curvature. The focal length of this lens is $+ 31.2 \mathrm {~cm}$ and the index of refraction of the glass is $1.52$. The lens is to be replaced with a plano-convex glass lens of the same focal length and thickness. The radius of curvature of the convex surface of the replacement lens is $13.0 \mathrm {~cm}$. What should be the index of refraction of the glass of the plano-convex lens?

Accepted Answer

A)  $1.40$ 
B)  $1.42$ 
C)  $1.38$ 
D)  $1.36$ 
E)  $1.44$

Question 10

As you walk away from a plane mirror on a wall, the height of your image

Accepted Answer

A)  is always a real image, no matter how far you are from the mirror. 
B)  changes from being a virtual image to a real image as you pass the focal point. 
C)  is always the same size. 
D)  may or may not get smaller, depending on where the observer is positioned. 
E)  gets smaller.

Question 11

How far from a +50-mm focal length lens, such as is used in many 35-mm cameras, must an object be placed so it will form a real image that is 3.0 times the size of the object?

Accepted Answer

A)  58 mm 
B)  67 mm 
C)  46 mm 
D)  52 mm

Question 12

An object that is 47.5 cm tall forms an image that is 38.6 cm tall and 14.8 cm from a spherical mirror. How far is the object from the mirror?

Accepted Answer

A)  124 cm 
B)  18.2 cm 
C)  47.6 cm 
D)  12.0 cm

Question 13

Reza's face is 20 cm in front of a concave shaving mirror having a focal length of magnitude 30 cm. How large is the image of his face?

Accepted Answer

A)  twice as large as his face 
B)  half as large as his face 
C)  three times as large as his face 
D)  of the same size as his face 
E)  four times as large as his face

Question 14

The focal length of a convex mirror is has a magnitude of 20 cm. What is its radius of curvature?

Accepted Answer

A)  -20 cm 
B)  -10 cm 
C)  40 cm 
D)  20 cm 
E)  -40 cm

Question 15

An object is placed 15 cm to the left of a double-convex lens of focal length 20 cm. Where is the image of this object located?

Accepted Answer

A)  8.6 cm to the left of the lens 
B)  60 cm to the left of the lens 
C)  8.6 cm to the right of the lens 
D)  60 cm to the right of the lens 
E)  30 cm to the left of the lens

Question 16

Sometimes when you look into a curved mirror you see a magnified image (a great big you) and sometimes you see a diminished image (a little you). If you look at the bottom (convex) side of a
Shiny spoon, what will you see?

Accepted Answer

A)  You will see a little you, upside down. 
B)  You will either see a little you or a great big you, depending on how near you are to the spoon. 
C)  You won't see an image of yourself because no image will be formed. 
D)  You will see a little you, right side up. 
E)  You will see a little you, but whether you are right side up or upside down depends on how near you are to the spoon.

Question 17

A concave spherical mirror has a focal length of magnitude 20 cm. An object is placed 30 cm in front of the mirror on the mirror's axis. Where is the image located?

Accepted Answer

A)  12 cm behind the mirror 
B)  60 cm behind the mirror 
C)  12 cm in front of the mirror 
D)  60 cm in front of the mirror

Question 18

A thin beam of light enters a thick plastic sheet from air at an angle of $32.0 ^ { \circ }$ with the normal and continues in the sheet at an angle of $23.0 ^ { \circ }$ with the normal. What is the index of refraction of the plastic?

Accepted Answer

A)  1.11 
B)  0.74 
C)  1.28 
D)  1.36

Question 19

A convex lens has focal length $f$. If an object is placed at a distance beyond $2 f$ from the lens on the principal axis, the image is located at a distance from the lens

Accepted Answer

A)  of infinity. 
B)  between $f$ and $2 f$. 
C)  between the lens and $f$. 
D)  of $f$. 
E)  of $2 f$.

Question 20

Which of following statements about the image formed by a single diverging lens are true? (There could be more than one correct choice.)

Accepted Answer

A)  The image is always virtual. 
B)  The image is always real. 
C)  The image is always upright. 
D)  The image is always smaller than the object. 
E)  The image is always inverted.

Exam 22: Electromagnetic Waves

A wrench is placed at $30 \mathrm {~cm}$ in front of a diverging lens with a focal length of magnitude $10 \mathrm {~cm}$ . What is the magnification of the wrench?

A person jogs toward a plane mirror at a speed of 3 m/s. How fast is he approaching his image in the mirror?

A certain slide projector has a lens of focal length 15.0 cm. This lens forms an image measuring 100 cm × 100 cm on the screen when a slide whose dimensions are 50.0 mm × 50.0 mm is being magnified. How far from the lens should the screen be placed?

A statue that is 10.4 cm tall is placed 4.8 cm in front of a concave lens. The image is 4.0 cm from the lens. How tall is the image?

An object is placed 9.5 cm in front of a convex lens with a focal length of magnitude 24 cm. (a) Where is the image formed and how far is it from the lens? (b) What is the magnification produced by the lens?

A statue that is 2.3 cm tall is placed 15 cm in front of a convex mirror. The magnitude of the radius of curvature of the mirror is 18 cm. (a) Is the image real or virtual? (b) How far is the image from the mirror? (c) Is the image upright or inverted? (d) How tall is the image?

As you walk away from a plane mirror on a wall, the height of your image

How far from a +50-mm focal length lens, such as is used in many 35-mm cameras, must an object be placed so it will form a real image that is 3.0 times the size of the object?

An object that is 47.5 cm tall forms an image that is 38.6 cm tall and 14.8 cm from a spherical mirror. How far is the object from the mirror?

Reza's face is 20 cm in front of a concave shaving mirror having a focal length of magnitude 30 cm. How large is the image of his face?

The focal length of a convex mirror is has a magnitude of 20 cm. What is its radius of curvature?

An object is placed 15 cm to the left of a double-convex lens of focal length 20 cm. Where is the image of this object located?

Sometimes when you look into a curved mirror you see a magnified image (a great big you) and sometimes you see a diminished image (a little you) . If you look at the bottom (convex) side of a Shiny spoon, what will you see?

A concave spherical mirror has a focal length of magnitude 20 cm. An object is placed 30 cm in front of the mirror on the mirror's axis. Where is the image located?

A thin beam of light enters a thick plastic sheet from air at an angle of $32.0 ^ { \circ }$ with the normal and continues in the sheet at an angle of $23.0 ^ { \circ }$ with the normal. What is the index of refraction of the plastic?

A convex lens has focal length $f$ . If an object is placed at a distance beyond $2 f$ from the lens on the principal axis, the image is located at a distance from the lens

Which of following statements about the image formed by a single diverging lens are true? (There could be more than one correct choice.)

Exam 22: Electromagnetic Waves

A wrench is placed at 30 cm30 \mathrm {~cm}30 cm in front of a diverging lens with a focal length of magnitude 10 cm10 \mathrm {~cm}10 cm . What is the magnification of the wrench?

A person jogs toward a plane mirror at a speed of 3 m/s. How fast is he approaching his image in the mirror?

A certain slide projector has a lens of focal length 15.0 cm. This lens forms an image measuring 100 cm × 100 cm on the screen when a slide whose dimensions are 50.0 mm × 50.0 mm is being magnified. How far from the lens should the screen be placed?

A statue that is 10.4 cm tall is placed 4.8 cm in front of a concave lens. The image is 4.0 cm from the lens. How tall is the image?

An object is placed 9.5 cm in front of a convex lens with a focal length of magnitude 24 cm. (a) Where is the image formed and how far is it from the lens? (b) What is the magnification produced by the lens?

A statue that is 2.3 cm tall is placed 15 cm in front of a convex mirror. The magnitude of the radius of curvature of the mirror is 18 cm. (a) Is the image real or virtual? (b) How far is the image from the mirror? (c) Is the image upright or inverted? (d) How tall is the image?

As you walk away from a plane mirror on a wall, the height of your image

How far from a +50-mm focal length lens, such as is used in many 35-mm cameras, must an object be placed so it will form a real image that is 3.0 times the size of the object?

An object that is 47.5 cm tall forms an image that is 38.6 cm tall and 14.8 cm from a spherical mirror. How far is the object from the mirror?

Reza's face is 20 cm in front of a concave shaving mirror having a focal length of magnitude 30 cm. How large is the image of his face?

The focal length of a convex mirror is has a magnitude of 20 cm. What is its radius of curvature?

An object is placed 15 cm to the left of a double-convex lens of focal length 20 cm. Where is the image of this object located?

Sometimes when you look into a curved mirror you see a magnified image (a great big you) and sometimes you see a diminished image (a little you) . If you look at the bottom (convex) side of a Shiny spoon, what will you see?

A concave spherical mirror has a focal length of magnitude 20 cm. An object is placed 30 cm in front of the mirror on the mirror's axis. Where is the image located?

A thin beam of light enters a thick plastic sheet from air at an angle of 32.0∘32.0 ^ { \circ }32.0∘ with the normal and continues in the sheet at an angle of 23.0∘23.0 ^ { \circ }23.0∘ with the normal. What is the index of refraction of the plastic?

A convex lens has focal length fff . If an object is placed at a distance beyond 2f2 f2f from the lens on the principal axis, the image is located at a distance from the lens

Which of following statements about the image formed by a single diverging lens are true? (There could be more than one correct choice.)

A wrench is placed at $30 \mathrm {~cm}$ in front of a diverging lens with a focal length of magnitude $10 \mathrm {~cm}$ . What is the magnification of the wrench?

A thin beam of light enters a thick plastic sheet from air at an angle of $32.0 ^ { \circ }$ with the normal and continues in the sheet at an angle of $23.0 ^ { \circ }$ with the normal. What is the index of refraction of the plastic?

A convex lens has focal length $f$ . If an object is placed at a distance beyond $2 f$ from the lens on the principal axis, the image is located at a distance from the lens