Question 1

Three materials with n1 2 3 are arranged in layers of uniform thickness. A light ray in air enters the first layer at an angle of incidence of 40° and the ray eventually exits the third layer at the refracted angle  θ	hetaθ  in air. What is the value of  θ	hetaθ ?

Accepted Answer

A)   Some angle more than 40°.
B)   Insufficient information to answer.
C)   40°.
D)   Some angle less than 40°. E) C) and D)
F) A) and B)

Question 2

A fiber optic cable (n = 1.40)  is submerged in water (n = 1.33) . What is the critical angle for light to stay inside the cable?

Accepted Answer

A)   71.8°
B)   27.6°
C)   62.5°
D)   41.8°E) All of the above
F) C) and D)

Question 3

Two plane mirrors make an angle of 50° with one another. A ray of light parallel to mirror #1 reflects off mirror #2 and then strikes mirror #1. What is the angle of incidence the ray makes with mirror #1?

Accepted Answer

A)   50°
B)   The answer is not given.
C)   40°
D)   55°E) None of the above
F) B) and C)

Question 4

A ray of white light, incident upon a glass prism, is dispersed into its various color components. Which one of the following colors experiences the least angle of deviation?

Accepted Answer

A)   orange
B)   violet
C)   green
D)   redE) All of the above
F) C) and D)

Question 5

The magnification for a flat mirror:

Accepted Answer

A)   is a function of the image distance.
B)   is a function of the object distance.
C)   is a function of the object and image distances.
D)   is 1.E) None of the above
F) All of the above

Question 6

The real image of an object is located 35.0 cm away from a concave mirror, which has a focal length of 10.0 cm. How far is the object from the mirror?

Accepted Answer

A)   40.0 cm
B)   35.0 cm
C)   14.0 cm
D)   12.9 cmE) A) and D)
F) All of the above

Question 7

Fiber optics has to do with:

Accepted Answer

A)   light having fiber characteristics as well as wave and particle characteristics.
B)   the color of fabrics.
C)   string theory.
D)   none of the above.E) B) and C)
F) A) and D)

Question 8

Which of the following effects is the result of the fact that the index of refraction of glass will vary with wavelength?

Accepted Answer

A)   mirages
B)   spherical aberration
C)   light scattering
D)   chromatic aberrationE) C) and D)
F) A) and D)

Question 9

Diamond has an index of refraction of 2.419. What is the critical angle for internal reflection inside a diamond that is in air?

Accepted Answer

A)   48.8°
B)   131°
C)   24.4°
D)   155°E) None of the above
F) C) and D)

Question 10

A candle is 49.0 cm in front of a concave spherical mirror of radius of curvature 70.0 cm. What are the image distance and the magnification, respectively?

Accepted Answer

A)   "-20.4 cm, +0.417"
B)   "+122.5 cm, -2.50"
C)   "+20.4 cm, -0.417"
D)   "+122.5 cm, +2.50"E) A) and C)
F) None of the above

Question 11

When the reflection of an object is seen in a convex mirror the image will:

Accepted Answer

A)   may be either real or virtual.
B)   will always be enlarged.
C)   always be virtual.
D)   always be real.E) A) and D)
F) A) and C)

Question 12

A converging lens with two convex surfaces has a front surface with radius of curvature of 10.0 cm; the back surface has radius of curvature of 30.0 cm, and the lens is made from material with an index of refraction of 2.50. What is the focal length of the lens?

Accepted Answer

A)   "-13.3 cm"
B)   "4.44 cm"
C)   "5.00 cm"
D)   "0.250 cm"E) All of the above
F) B) and C)

Question 13

An underwater scuba diver sees the Sun at an apparent angle of 45.0° from the vertical. How far is the sun above the horizon? (nwater = 1.333)

Accepted Answer

A)   19.5°
B)   68.0°
C)   48.2°
D)   41.8°E) A) and B)
F) A) and C)

Question 14

Which of the following best describes the image of a concave mirror when the object's distance from the mirror is less than the focal point distance?

Accepted Answer

A)   real, inverted, and magnification greater than one
B)   virtual, upright, and magnification greater than one
C)   virtual, upright, and magnification less than one
D)   real, inverted, and magnification less than oneE) B) and C)
F) A) and C)

Question 15

A 4.0-cm tall object is placed along the principal axis of a thin, convex lens of 30.0-cm focal length. If the object distance is 40.0 cm, which of the following best describes the image distance and height, respectively?

Accepted Answer

A)   17.3 cm and 7.0 cm
B)   17.3 cm and 1.3 cm
C)   120 cm and 1.3 cm
D)   120 cm and 12 cmE) A) and B)
F) All of the above

Question 16

An object is 12.0 cm from the surface of a spherical Christmas tree ornament that is 10.0 cm in diameter. What is the magnification of the image?

Accepted Answer

A)   "-0.500"
B)   "-0.200"
C)   "+0.172"
D)   "+0.143"E) A) and C)
F) A) and B)

Question 17

If the speed of light through an unknown liquid is measured at 1.67 * 108 m/s, what is the index of refraction of this liquid? (c = 3.00*108 m/s)

Accepted Answer

A)   1.80
B)   1.67
C)   0.600
D)   1.20E) A) and D)
F) None of the above

Question 18

A fish is 2.1 m beneath the surface of a still pond of water. At what maximum angle can the fish look toward the surface (measured with respect to the normal to the surface)  in order to see a fisherman sitting on a distant bank? (for water, n = 1.333)

Accepted Answer

A)   18.6°
B)   48.6°
C)   37.2°
D)   The fish will not see the fisherman at any angle.E) None of the above
F) C) and D)

Question 19

When the reflection of an object is seen in a plane mirror, the image is:

Accepted Answer

A)   real and upright.
B)   virtual and upright.
C)   real and inverted.
D)   virtual and inverted.E) A) and B)
F) B) and D)

Question 20

If the wavelength of a monochromatic source is 600 nm in vacuum, what is the wavelength from the same source when it passes through a liquid where the speed of light is 2.00 * 108 m/s? (c = 3.00 *108 m/s)

Accepted Answer

A)   612.5 nm
B)   671 nm
C)   400 nm
D)   392 nmE) None of the above
F) A) and C)

Exam 24: Geometrical Optics

A fiber optic cable (n = 1.40) is submerged in water (n = 1.33) . What is the critical angle for light to stay inside the cable?

Correct AnswerverifiedShow Answer

When the reflection of an object is seen in a convex mirror the image will:

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If the wavelength of a monochromatic source is 600 nm in vacuum, what is the wavelength from the same source when it passes through a liquid where the speed of light is 2.00 * 108 m/s? (c = 3.00 *108 m/s)

Correct AnswerverifiedShow Answer

A candle is 49.0 cm in front of a concave spherical mirror of radius of curvature 70.0 cm. What are the image distance and the magnification, respectively?

Correct AnswerverifiedShow Answer

Three materials with n1 < n2 < n3 are arranged in layers of uniform thickness. A light ray in air enters the first layer at an angle of incidence of 40° and the ray eventually exits the third layer at the refracted angle θ\thetaθ in air. What is the value of θ\thetaθ ?

Correct AnswerverifiedShow Answer

Fiber optics has to do with:

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Two plane mirrors make an angle of 50° with one another. A ray of light parallel to mirror #1 reflects off mirror #2 and then strikes mirror #1. What is the angle of incidence the ray makes with mirror #1?

Correct AnswerverifiedShow Answer

Which of the following effects is the result of the fact that the index of refraction of glass will vary with wavelength?

Correct AnswerverifiedShow Answer

A 4.0-cm tall object is placed along the principal axis of a thin, convex lens of 30.0-cm focal length. If the object distance is 40.0 cm, which of the following best describes the image distance and height, respectively?

Correct AnswerverifiedShow Answer

The real image of an object is located 35.0 cm away from a concave mirror, which has a focal length of 10.0 cm. How far is the object from the mirror?

Correct AnswerverifiedShow Answer

Diamond has an index of refraction of 2.419. What is the critical angle for internal reflection inside a diamond that is in air?

Correct AnswerverifiedShow Answer

An underwater scuba diver sees the Sun at an apparent angle of 45.0° from the vertical. How far is the sun above the horizon? (nwater = 1.333)

Correct AnswerverifiedShow Answer

If the speed of light through an unknown liquid is measured at 1.67 * 108 m/s, what is the index of refraction of this liquid? (c = 3.00*108 m/s)

Correct AnswerverifiedShow Answer

A ray of white light, incident upon a glass prism, is dispersed into its various color components. Which one of the following colors experiences the least angle of deviation?

Correct AnswerverifiedShow Answer

A converging lens with two convex surfaces has a front surface with radius of curvature of 10.0 cm; the back surface has radius of curvature of 30.0 cm, and the lens is made from material with an index of refraction of 2.50. What is the focal length of the lens?

Correct AnswerverifiedShow Answer

Which of the following best describes the image of a concave mirror when the object's distance from the mirror is less than the focal point distance?

Correct AnswerverifiedShow Answer

A fish is 2.1 m beneath the surface of a still pond of water. At what maximum angle can the fish look toward the surface (measured with respect to the normal to the surface) in order to see a fisherman sitting on a distant bank? (for water, n = 1.333)

Correct AnswerverifiedShow Answer

When the reflection of an object is seen in a plane mirror, the image is:

Correct AnswerverifiedShow Answer

The magnification for a flat mirror:

Correct AnswerverifiedShow Answer

An object is 12.0 cm from the surface of a spherical Christmas tree ornament that is 10.0 cm in diameter. What is the magnification of the image?

Correct AnswerverifiedShow Answer

Correct Answer
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If the wavelength of a monochromatic source is 600 nm in vacuum, what is the wavelength from the same source when it passes through a liquid where the speed of light is 2.00 * 10⁸m/s? (c = 3.00 *10⁸ m/s)

Correct Answer
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Correct Answer
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Three materials with n₁< n₂< n₃ are arranged in layers of uniform thickness. A light ray in air enters the first layer at an angle of incidence of 40° and the ray eventually exits the third layer at the refracted angle $\theta$ in air. What is the value of $\theta$ ?

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Correct Answer
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An underwater scuba diver sees the Sun at an apparent angle of 45.0° from the vertical. How far is the sun above the horizon? (n_water = 1.333)

Correct Answer
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If the speed of light through an unknown liquid is measured at 1.67 * 10⁸ m/s, what is the index of refraction of this liquid? (c = 3.00*10⁸ m/s)

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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