Question 1

A plano-convex lens is to have a focal length of magnitude 40 cm, and it is made of glass of index of refraction 1.65. What radius of curvature is required?

Accepted Answer

A)  26 cm 
B)  36 cm 
C)  13 cm 
D)  32 cm 
A)  26 cm 
B)  36 cm 
C)  13 cm 
D)  32 cm

Question 2

A concave spherical mirror with a radius of curvature of 20 cm creates a real image 30 cm from the mirror. How far is the object from the mirror?

Accepted Answer

A)  20 cm 
B)  7.5 cm 
C)  5.0 cm 
D)  15 cm 
A)  20 cm 
B)  7.5 cm 
C)  5.0 cm 
D)  15 cm

Question 3

A converging lens with the same curvature on both faces and a focal length of 25 cm is to
be made from crown glass having a refractive index of 1.52. What radius of curvature is
required for each face?

Accepted Answer

The answer of A converging lens with the same curvature...

Question 4

A laser beam strikes a plane mirror's reflecting surface with an angle of incidence of $$43 ^ { \circ } .$$ What is the angle between the incident ray and the reflected ray?

Accepted Answer

A)  $45 ^ { \circ }$ 
B)  $86 ^ { \circ }$ 
C)  $90 ^ { \circ }$ 
D)  $0 ^ { \circ }$ 
E)  $43 ^ { \circ }$ 
A)  $45 ^ { \circ }$ 
B)  $86 ^ { \circ }$ 
C)  $90 ^ { \circ }$ 
D)  $0 ^ { \circ }$ 
E)  $43 ^ { \circ }$

Question 5

Light enters a substance from air at $30.0 ^ { \circ }$ to the normal. It continues within the substance at $23.0 ^ { \circ }$ to the normal. What is the critical angle for this substance when it is surrounded by air?

Accepted Answer

A)  $53 ^ { \circ }$ 
B)  $12.6 ^ { \circ }$ 
C)  $51.4 ^ { \circ }$ 
D)  $36.7 ^ { \circ }$ 
A)  $53 ^ { \circ }$ 
B)  $12.6 ^ { \circ }$ 
C)  $51.4 ^ { \circ }$ 
D)  $36.7 ^ { \circ }$

Question 6

A beam of light that is parallel to the principal axis strikes a convex mirror. What happens to the reflected beam of light?

Accepted Answer

A)  It appears to be coming from the focal point on the other side of the mirror. 
B)  It appears to be coming from a point between the focal point and the center of curvature of the mirror. 
C)  It also is parallel to the principal axis. 
D)  It is perpendicular to the principal axis. 
E)  It appears to be coming from the center of curvature of the mirror. 
A)  It appears to be coming from the focal point on the other side of the mirror. 
B)  It appears to be coming from a point between the focal point and the center of curvature of the mirror. 
C)  It also is parallel to the principal axis. 
D)  It is perpendicular to the principal axis. 
E)  It appears to be coming from the center of curvature of the mirror.

Question 7

An object that is 10.0 cm tall is placed 37.0 cm in front of a concave mirror of focal length 18.5 cm. How tall is the image?

Accepted Answer

A)  7.5 cm 
B)  10.0 cm 
C)  5.0 cm 
D)  20.0 cm 
E)  2.5 cm 
A)  7.5 cm 
B)  10.0 cm 
C)  5.0 cm 
D)  20.0 cm 
E)  2.5 cm

Question 8

A glass plate with an index of refraction is $1.57$ is immersed in an oil having a refractive index of $1.40$. The surface of the glass is inclined at an angle of $54 ^ { \circ }$ with the vertical. A horizontal light ray in the glass strikes the interface. What is the angle that the refracted ray, in the oil, makes with the horizontal?

Accepted Answer

A)  $11 ^ { \circ }$ 
B)  $14 ^ { \circ }$ 
C)  $8.3 ^ { \circ }$ 
D)  $17 ^ { \circ }$ 
E)  $5.6 ^ { \circ }$ 
A)  $11 ^ { \circ }$ 
B)  $14 ^ { \circ }$ 
C)  $8.3 ^ { \circ }$ 
D)  $17 ^ { \circ }$ 
E)  $5.6 ^ { \circ }$

Question 9

Lucite has an index of refraction of $1.50$. What is its critical angle if it is in air?

Accepted Answer

A)  $65.2 ^ { \circ }$ 
B)  $15 ^ { \circ }$ 
C)  $41.8 ^ { \circ }$ 
D)  $1.16 ^ { \circ }$ 
E)  $87.4 ^ { \circ }$ 
A)  $65.2 ^ { \circ }$ 
B)  $15 ^ { \circ }$ 
C)  $41.8 ^ { \circ }$ 
D)  $1.16 ^ { \circ }$ 
E)  $87.4 ^ { \circ }$

Question 10

A cell phone that is $8.90 \mathrm {~cm}$ tall is placed in front of a convex mirror. The image of the phone is $7.80 \mathrm {~cm}$ tall and is located $14.8 \mathrm {~cm}$ from a mirror. What is the mirror's focal length?

Accepted Answer

A)  $+ 120 \mathrm {~cm}$ 
B)  $- 105 \mathrm {~cm}$ 
C)  $- 120 \mathrm {~cm}$ 
D)  $+ 16.9 \mathrm {~cm}$ 
E)  $- 13.0 \mathrm {~cm}$ 
A)  $+ 120 \mathrm {~cm}$ 
B)  $- 105 \mathrm {~cm}$ 
C)  $- 120 \mathrm {~cm}$ 
D)  $+ 16.9 \mathrm {~cm}$ 
E)  $- 13.0 \mathrm {~cm}$

Question 11

Light having a speed in vacuum of $3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s }$ enters a liquid of refractive index $2.0$. In this liquid, its speed will be

Accepted Answer

A)  $0.75 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s }$ 
B)  $6.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s }$ 
C)  $1.5 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s }$ 
D)  $0.67 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s }$ 
E)  $3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s }$ 
A)  $0.75 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s }$ 
B)  $6.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s }$ 
C)  $1.5 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s }$ 
D)  $0.67 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s }$ 
E)  $3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s }$

Question 12

Which of the following statements about spherical mirrors is correct? (There could be more than one correct choice.)

Accepted Answer

A)  A convex mirror always produces a virtual image. 
B)  A concave mirror always produces a virtual image. 
C)  A convex mirror always produces a real image. 
D)  A convex mirror always produces an upright image. 
E)  A concave mirror always produces a real image. 
A)  A convex mirror always produces a virtual image. 
B)  A concave mirror always produces a virtual image. 
C)  A convex mirror always produces a real image. 
D)  A convex mirror always produces an upright image. 
E)  A concave mirror always produces a real image.

Question 13

A tank holds a layer of oil, of thickness $T _ { O } = 1.43 \mathrm {~m}$, that floats on a layer of syrup of thickness $T _ { \mathrm { S } } =$ $0.640 \mathrm {~m}$, as shown in the figure. Both liquids are clear and do not mix together. A light ray, originating at the bottom of the tank at point $P$, crosses the oil-syrup interface at a point $0.900 \mathrm {~m}$ from the axis. The ray continues and arrives at the oil-air interface, $2.00 \mathrm {~m}$ to the right of $P$ and at the critical angle. What is the index of refraction of the oil?

Accepted Answer

A)  $1.64$ 
B)  $1.66$ 
C)  $1.68$ 
D)  $1.60$ 
E)  $1.62$ 
A)  $1.64$ 
B)  $1.66$ 
C)  $1.68$ 
D)  $1.60$ 
E)  $1.62$

Question 14

During the investigation of a new type of optical fiber having an index of refraction $n = 1.21$ ), a laser beam is aimed at the flat end of a straight fiber, as shown in the figure. What is the maximum angle of incidence $\theta _ { 1 }$ if the beam is not to escape from the sides of the fiber if it is surrounded by air?

Accepted Answer

A)  $36.7 ^ { \circ }$ 
B)  $39.8 ^ { \circ }$ 
C)  $30.5 ^ { \circ }$ 
D)  $42.9 ^ { \circ }$ 
E)  $33.6 ^ { \circ }$ 
A)  $36.7 ^ { \circ }$ 
B)  $39.8 ^ { \circ }$ 
C)  $30.5 ^ { \circ }$ 
D)  $42.9 ^ { \circ }$ 
E)  $33.6 ^ { \circ }$

Question 15

The curved surface of a 50-cm focal length plano-convex lens has a radius of curvature of
30 cm. What is the refractive index of the glass?

Accepted Answer

The answer of The curved surface of a 50-cm focal...

Question 16

A 14-mm tall postage stamp is 4.0 mm from a converging lens. If the image of the stamp is 4.0 mm tall, how far is it from the lens?

Accepted Answer

A)  14 mm 
B)  1.1 mm 
C)  8.7 mm 
D)  1.4 mm 
A)  14 mm 
B)  1.1 mm 
C)  8.7 mm 
D)  1.4 mm

Question 17

A double-concave lens has equal radii of curvature of magnitudes 15.1 cm. An object placed 14.2 cm from the lens forms a virtual image 5.00 cm from the lens. What is the index of refraction
Of the lens material?

Accepted Answer

A)  1.98 
B)  1.84 
C)  2.06 
D)  1.90 
A)  1.98 
B)  1.84 
C)  2.06 
D)  1.90

Question 18

A certain camera uses a double-convex lens made of glass with an index of refraction of
1.60. This lens has a radius of curvature of magnitude 12 cm for the first surface and one of
magnitude 24 cm for the second surface. What is the focal length of this lens?

Accepted Answer

The answer of A certain camera uses a double-convex lens...

Question 19

A cup that is $6.0 \mathrm {~cm}$ tall is in front of a concave lens. The image of the cup is $2.5 \mathrm {~cm}$ tall and $7.5 \mathrm {~cm}$ from the lens. What is the focal length of the lens?

Accepted Answer

A)  $- 13 \mathrm {~cm}$ 
B)  $+ 6.0 \mathrm {~cm}$ 
C)  $+ 18 \mathrm {~cm}$ 
D)  $- 6.0 \mathrm {~cm}$ 
E)  $- 7.5 \mathrm {~cm}$ 
A)  $- 13 \mathrm {~cm}$ 
B)  $+ 6.0 \mathrm {~cm}$ 
C)  $+ 18 \mathrm {~cm}$ 
D)  $- 6.0 \mathrm {~cm}$ 
E)  $- 7.5 \mathrm {~cm}$

Question 20

An object is placed 50 cm in front of a concave mirror with a focal length of 25 cm. What is the magnification produced by the mirror?

Accepted Answer

A)  -2.0 
B)  -1.0 
C)  +1.0 
D)  +1.5 
E)  -0.50 
A)  -2.0 
B)  -1.0 
C)  +1.0 
D)  +1.5 
E)  -0.50

Exam 22: Electromagnetic Waves

A plano-convex lens is to have a focal length of magnitude 40 cm, and it is made of glass of index of refraction 1.65. What radius of curvature is required?

A concave spherical mirror with a radius of curvature of 20 cm creates a real image 30 cm from the mirror. How far is the object from the mirror?

A converging lens with the same curvature on both faces and a focal length of 25 cm is to be made from crown glass having a refractive index of 1.52. What radius of curvature is required for each face?

A laser beam strikes a plane mirror's reflecting surface with an angle of incidence of 43∘.43 ^ { \circ } .43∘. What is the angle between the incident ray and the reflected ray?

Light enters a substance from air at 30.0∘30.0 ^ { \circ }30.0∘ to the normal. It continues within the substance at 23.0∘23.0 ^ { \circ }23.0∘ to the normal. What is the critical angle for this substance when it is surrounded by air?

A beam of light that is parallel to the principal axis strikes a convex mirror. What happens to the reflected beam of light?

An object that is 10.0 cm tall is placed 37.0 cm in front of a concave mirror of focal length 18.5 cm. How tall is the image?

Lucite has an index of refraction of 1.501.501.50 . What is its critical angle if it is in air?

A cell phone that is 8.90 cm8.90 \mathrm {~cm}8.90 cm tall is placed in front of a convex mirror. The image of the phone is 7.80 cm7.80 \mathrm {~cm}7.80 cm tall and is located 14.8 cm14.8 \mathrm {~cm}14.8 cm from a mirror. What is the mirror's focal length?

Light having a speed in vacuum of 3.0×108 m/s3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s }3.0×108 m/s enters a liquid of refractive index 2.02.02.0 . In this liquid, its speed will be

Which of the following statements about spherical mirrors is correct? (There could be more than one correct choice.)

The curved surface of a 50-cm focal length plano-convex lens has a radius of curvature of 30 cm. What is the refractive index of the glass?

A 14-mm tall postage stamp is 4.0 mm from a converging lens. If the image of the stamp is 4.0 mm tall, how far is it from the lens?

A double-concave lens has equal radii of curvature of magnitudes 15.1 cm. An object placed 14.2 cm from the lens forms a virtual image 5.00 cm from the lens. What is the index of refraction Of the lens material?

A certain camera uses a double-convex lens made of glass with an index of refraction of 1.60. This lens has a radius of curvature of magnitude 12 cm for the first surface and one of magnitude 24 cm for the second surface. What is the focal length of this lens?

A cup that is 6.0 cm6.0 \mathrm {~cm}6.0 cm tall is in front of a concave lens. The image of the cup is 2.5 cm2.5 \mathrm {~cm}2.5 cm tall and 7.5 cm7.5 \mathrm {~cm}7.5 cm from the lens. What is the focal length of the lens?

An object is placed 50 cm in front of a concave mirror with a focal length of 25 cm. What is the magnification produced by the mirror?

Introduction, Measurement, Estimating

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A laser beam strikes a plane mirror's reflecting surface with an angle of incidence of $43 ^ { \circ } .$ What is the angle between the incident ray and the reflected ray?

Light enters a substance from air at $30.0 ^ { \circ }$ to the normal. It continues within the substance at $23.0 ^ { \circ }$ to the normal. What is the critical angle for this substance when it is surrounded by air?

Lucite has an index of refraction of $1.50$ . What is its critical angle if it is in air?

A cell phone that is $8.90 \mathrm {~cm}$ tall is placed in front of a convex mirror. The image of the phone is $7.80 \mathrm {~cm}$ tall and is located $14.8 \mathrm {~cm}$ from a mirror. What is the mirror's focal length?

Light having a speed in vacuum of $3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s }$ enters a liquid of refractive index $2.0$ . In this liquid, its speed will be

A cup that is $6.0 \mathrm {~cm}$ tall is in front of a concave lens. The image of the cup is $2.5 \mathrm {~cm}$ tall and $7.5 \mathrm {~cm}$ from the lens. What is the focal length of the lens?