Question 1

An object is placed 60 cm from a convex lens with a focal length of magnitude 10 cm. What is the magnification?

Accepted Answer

A)  $0.20$ 
B)  $- 0.20$ 
C)  $0.15$ 
D)  $- 0.10$ 
E)  $0.10$ 
A)  $0.20$ 
B)  $- 0.20$ 
C)  $0.15$ 
D)  $- 0.10$ 
E)  $0.10$

Question 2

David stands 2.5 m in front of a plane mirror.
(a) How far from David is his image in the mirror?
(b) If David moves away from the mirror at 1.5 m/s, how fast are David and his image
moving apart from each other?
(c) If David is 180 cm tall, how tall is his image in the mirror?

Accepted Answer

(a) 5.0 cm

Question 3

How far from a lens having a focal length of $+ 50 \mathrm {~mm}$ must the object be placed if it is to form a virtual image that is $3.0$ times the size of the object?

Accepted Answer

A)  $33 \mathrm {~mm}$ 
B)  $54 \mathrm {~mm}$ 
C)  $42 \mathrm {~mm}$ 
D)  $48 \mathrm {~mm}$ 
A)  $33 \mathrm {~mm}$ 
B)  $54 \mathrm {~mm}$ 
C)  $42 \mathrm {~mm}$ 
D)  $48 \mathrm {~mm}$

Question 4

A light ray in glass arrives at the glass-water interface at an angle of $\theta = 48 ^ { \circ }$ with the normal. The refracted ray in water makes an angle $\theta = 61 ^ { \circ }$ with the normal, as shown in the figure. The index of refraction of water is $1.33$. The angle of incidence is now changed to $\theta = 25 ^ { \circ }$. What is the new angle of refraction $\phi$ in the water?

Accepted Answer

A)  $62 ^ { \circ }$ 
B)  $30 ^ { \circ }$ 
C)  $60 ^ { \circ }$ 
D)  $56 ^ { \circ }$ 
E)  $54 ^ { \circ }$ 
A)  $62 ^ { \circ }$ 
B)  $30 ^ { \circ }$ 
C)  $60 ^ { \circ }$ 
D)  $56 ^ { \circ }$ 
E)  $54 ^ { \circ }$

Question 5

A convex spherical mirror has a focal length of magnitude 20 cm. If an object is placed 10 cm in front of the mirror on the mirror's axis, where is the image located?

Accepted Answer

A)  6.7 cm in front of the mirror 
B)  6.7 cm behind the mirror 
C)  20 cm in front of the mirror 
D)  20 cm behind the mirror 
A)  6.7 cm in front of the mirror 
B)  6.7 cm behind the mirror 
C)  20 cm in front of the mirror 
D)  20 cm behind the mirror

Question 6

If the magnification of a mirror or lens is negative, it means that

Accepted Answer

A)  the image is inverted and smaller than the object. 
B)  the object is farther from the mirror (or lens) than the image. 
C)  the image is farther from the mirror (or lens) than the object. 
D)  the image is inverted. 
E)  the image is smaller than the object. 
A)  the image is inverted and smaller than the object. 
B)  the object is farther from the mirror (or lens) than the image. 
C)  the image is farther from the mirror (or lens) than the object. 
D)  the image is inverted. 
E)  the image is smaller than the object.

Question 7

The speed of light in a certain material is measured to be $2.2 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s }$. What is the index of refraction of this material? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

Accepted Answer

A)  $1.8$ 
B)  $1.1$ 
C)  $1.4$ 
D)  $1.2$ 
E)  $1.6$ 
A)  $1.8$ 
B)  $1.1$ 
C)  $1.4$ 
D)  $1.2$ 
E)  $1.6$

Question 8

If a single lens forms a virtual image of an object, then

Accepted Answer

A)  the lens must be a converging lens. 
B)  the object must be between the lens and its focal point. 
C)  the image must be inverted. 
D)  the lens must be a diverging lens. 
E)  the lens could be either a diverging or a converging lens. 
A)  the lens must be a converging lens. 
B)  the object must be between the lens and its focal point. 
C)  the image must be inverted. 
D)  the lens must be a diverging lens. 
E)  the lens could be either a diverging or a converging lens.

Question 9

An object that is 3.4 mm tall is placed 25 cm from the vertex of a convex spherical mirror.
The radius of curvature of the mirror has magnitude 73 cm.
(a) How far is the image from the vertex of the mirror?
(b) What is the height of the image?

Accepted Answer

(a) 15 cm

Question 10

An object that is 2.0 cm tall is placed at the center of curvature in front of a concave mirror. How tall is its image?

Accepted Answer

A)  2.0 cm 
B)  1.0 cm 
C)  1.5 cm 
D)  0.50 cm 
E)  infinite 
A)  2.0 cm 
B)  1.0 cm 
C)  1.5 cm 
D)  0.50 cm 
E)  infinite

Question 11

An image is 4.0 mm in front of a converging lens with focal length of magnitude 5.0 mm. Where is the object for this image?

Accepted Answer

A)  20 mm in front of the lens 
B)  2.2 mm behind the lens 
C)  2.2 mm in front of the lens 
D)  9.0 mm behind the lens 
A)  20 mm in front of the lens 
B)  2.2 mm behind the lens 
C)  2.2 mm in front of the lens 
D)  9.0 mm behind the lens

Question 12

A double-convex lens is formed from a piece of plastic with an index of refraction of 1.70. The radius of the front surface has magnitude 20 cm, and the radius of the back surface has magnitude
30 cm. What is the focal length of this lens?

Accepted Answer

A)  17 cm 
B)  -17 cm 
C)  -86 cm 
D)  43 cm 
E)  86 cm 
A)  17 cm 
B)  -17 cm 
C)  -86 cm 
D)  43 cm 
E)  86 cm

Question 13

As shown in the figure, a laser positioned on a ship is used to communicate with a small research submarine resting on the bottom of a lake. The laser is positioned $12 \mathrm {~m}$ above the surface of the water, and it strikes the water $20 \mathrm {~m}$ from the side of the ship. The water is $58 \mathrm {~m}$ deep and has an index of refraction of $1.33$. How far horizontally is the submarine from the side of the ship?
(Assume all numbers are accurate to three significant figures.)

Accepted Answer

A)  $89 \mathrm {~m}$ 
B)  $69 \mathrm {~m}$ 
C)  $79 \mathrm {~m}$ 
D)  $59 \mathrm {~m}$ 
E)  $49 \mathrm {~m}$ 
A)  $89 \mathrm {~m}$ 
B)  $69 \mathrm {~m}$ 
C)  $79 \mathrm {~m}$ 
D)  $59 \mathrm {~m}$ 
E)  $49 \mathrm {~m}$

Question 14

A double-convex lens made of glass having a refractive index of 1.50 has a radius of magnitude 40 cm on the front side and one of magnitude 30 cm on the back side. What is the focal length of this
Lens?

Accepted Answer

A)  11 cm 
B)  80 cm 
C)  34 cm 
D)  -11 cm 
E)  -240 cm 
A)  11 cm 
B)  80 cm 
C)  34 cm 
D)  -11 cm 
E)  -240 cm

Question 15

When a flower petal is 4.0 cm in front of a converging lens, the inverted image is half the height of the petal. What is the focal length of this lens?

Accepted Answer

A)  5.3 cm 
B)  4.0 cm 
C)  2.0 cm 
D)  1.3 cm 
A)  5.3 cm 
B)  4.0 cm 
C)  2.0 cm 
D)  1.3 cm

Question 16

A narrow light beam in vacuum contains light of two wavelengths, $480 \mathrm {~nm}$ and $700 \mathrm {~nm}$. It strikes a flat piece of glass at an angle of incidence of $60.000 ^ { \circ }$. The index of refraction of the glass is $1.4830$ at $480 \mathrm {~nm}$ and $1.4760$ at $700 \mathrm {~nm}$. Determine the angle between the two wavelengths as the light travels in the glass.

Accepted Answer

The answer of A narrow light beam in vacuum contains...

Question 17

An amateur astronomer grinds a double convex lens whose surfaces have radii of curvature of magnitudes 40 cm and 60 cm. The glass has an index of refraction of 1.54. What is the focal length
Of this lens when used in the night air?

Accepted Answer

A)  130 cm 
B)  44 cm 
C)  43 cm 
D)  89 cm 
E)  220 cm 
A)  130 cm 
B)  44 cm 
C)  43 cm 
D)  89 cm 
E)  220 cm

Question 18

A ray of light in glass strikes a water-glass interface at an angle of incidence equal to one-half the critical angle for that interface. The index of refraction for water is $1.33$, and for the glass it is $1.43 .$ What angle does the refracted ray in the water make with the normal?

Accepted Answer

A)  $47 ^ { \circ }$ 
B)  $37 ^ { \circ }$ 
C)  $32 ^ { \circ }$ 
D)  $27 ^ { \circ }$ 
E)  $42 ^ { \circ }$ 
A)  $47 ^ { \circ }$ 
B)  $37 ^ { \circ }$ 
C)  $32 ^ { \circ }$ 
D)  $27 ^ { \circ }$ 
E)  $42 ^ { \circ }$

Question 19

An object is placed near a concave mirror having a radius of curvature of magnitude $60 \mathrm {~cm}$. How far should you place the object from the mirror so that the lateral magnification produced by the mirror will be $+ 2.5$ ?

Accepted Answer

A)  $24 \mathrm {~cm}$ 
B)  $18 \mathrm {~cm}$ 
C)  $42 \mathrm {~cm}$ 
D)  $30 \mathrm {~cm}$ 
E)  $36 \mathrm {~cm}$ 
A)  $24 \mathrm {~cm}$ 
B)  $18 \mathrm {~cm}$ 
C)  $42 \mathrm {~cm}$ 
D)  $30 \mathrm {~cm}$ 
E)  $36 \mathrm {~cm}$

Question 20

When an object is 12 cm in front of a concave spherical mirror, the image is formed 3.0 cm in front of the mirror. What is the focal length of the mirror?

Accepted Answer

A)  15 cm 
B)  2.4 cm 
C)  1.3 cm 
D)  4.0 cm 
A)  15 cm 
B)  2.4 cm 
C)  1.3 cm 
D)  4.0 cm

Exam 22: Electromagnetic Waves

An object is placed 60 cm from a convex lens with a focal length of magnitude 10 cm. What is the magnification?

David stands 2.5 m in front of a plane mirror. (a) How far from David is his image in the mirror? (b) If David moves away from the mirror at 1.5 m/s, how fast are David and his image moving apart from each other? (c) If David is 180 cm tall, how tall is his image in the mirror?

How far from a lens having a focal length of +50 mm+ 50 \mathrm {~mm}+50 mm must the object be placed if it is to form a virtual image that is 3.03.03.0 times the size of the object?

A convex spherical mirror has a focal length of magnitude 20 cm. If an object is placed 10 cm in front of the mirror on the mirror's axis, where is the image located?

If the magnification of a mirror or lens is negative, it means that

The speed of light in a certain material is measured to be 2.2×108 m/s2.2 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s }2.2×108 m/s . What is the index of refraction of this material? (c=3.0×108 m/s)\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)(c=3.0×108 m/s)

If a single lens forms a virtual image of an object, then

An object that is 3.4 mm tall is placed 25 cm from the vertex of a convex spherical mirror. The radius of curvature of the mirror has magnitude 73 cm. (a) How far is the image from the vertex of the mirror? (b) What is the height of the image?

An object that is 2.0 cm tall is placed at the center of curvature in front of a concave mirror. How tall is its image?

An image is 4.0 mm in front of a converging lens with focal length of magnitude 5.0 mm. Where is the object for this image?

A double-convex lens is formed from a piece of plastic with an index of refraction of 1.70. The radius of the front surface has magnitude 20 cm, and the radius of the back surface has magnitude 30 cm. What is the focal length of this lens?

A double-convex lens made of glass having a refractive index of 1.50 has a radius of magnitude 40 cm on the front side and one of magnitude 30 cm on the back side. What is the focal length of this Lens?

When a flower petal is 4.0 cm in front of a converging lens, the inverted image is half the height of the petal. What is the focal length of this lens?

An amateur astronomer grinds a double convex lens whose surfaces have radii of curvature of magnitudes 40 cm and 60 cm. The glass has an index of refraction of 1.54. What is the focal length Of this lens when used in the night air?

A ray of light in glass strikes a water-glass interface at an angle of incidence equal to one-half the critical angle for that interface. The index of refraction for water is 1.331.331.33 , and for the glass it is 1.43.1.43 .1.43. What angle does the refracted ray in the water make with the normal?

An object is placed near a concave mirror having a radius of curvature of magnitude 60 cm60 \mathrm {~cm}60 cm . How far should you place the object from the mirror so that the lateral magnification produced by the mirror will be +2.5+ 2.5+2.5 ?

When an object is 12 cm in front of a concave spherical mirror, the image is formed 3.0 cm in front of the mirror. What is the focal length of the mirror?

Introduction, Measurement, Estimating

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How far from a lens having a focal length of $+ 50 \mathrm {~mm}$ must the object be placed if it is to form a virtual image that is $3.0$ times the size of the object?

The speed of light in a certain material is measured to be $2.2 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s }$ . What is the index of refraction of this material? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A ray of light in glass strikes a water-glass interface at an angle of incidence equal to one-half the critical angle for that interface. The index of refraction for water is $1.33$ , and for the glass it is $1.43 .$ What angle does the refracted ray in the water make with the normal?

An object is placed near a concave mirror having a radius of curvature of magnitude $60 \mathrm {~cm}$ . How far should you place the object from the mirror so that the lateral magnification produced by the mirror will be $+ 2.5$ ?