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Exam 18: Ray Optics

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Question 61

Multiple Choice

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A light ray in glass arrives at the glass-water interface at an angle of θ = 48° with the normal. The refracted ray in water makes an angle θ = 61° 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 θ = 25°. What is the new angle of refraction φ in the water?

A) 30°
B) 56°
C) 54°
D) 60°
E) 62°

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Question 62

Multiple Choice

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A wrench is placed at 30 cm in front of a diverging lens with a focal length of magnitude 10 cm. What is the magnification of the wrench?

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

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Question 63

Multiple Choice

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The speed of light in a material is $0.41 \mathrm { c }$ What is the critical angle of a light ray at the interface between the material and a vacuum?

Two plane mirrors make an angle of $30 ^ { \circ }$ with each other. A light ray enters the system and is reflected once off of each mirror. Through what angle is the ray turned?

A lighted candle is placed a short distance from a plane mirror, as shown in the figure. At which location will the image of the flame appear to be located?

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

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?

An upright object is 50 cm from a concave mirror of radius 60 cm. The character of the image is

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

A stature that is 3.0 cm tall statue is 24 cm in front of a concave mirror. The magnitude of the radius of curvature of the mirror is 20 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?

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?

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

A light ray enters a glass enclosed fish tank. From air it enters the glass at 20° with respect to the plane of the surface and then emerges into the water. The index for the glass is 1.50 and for water 1.33. (a)What is the angle of refraction in the glass? (b)What is the angle of refraction in the water? (c)Is there any incident angle in air for which the ray will not enter the water due to total internal reflection? If so, find it.

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?

Two thin lenses, one a converging lens and the other a diverging lens, are separated by 1.00 m along the same principal axis, as shown in the figure. The magnitude of the focal length of the converging lens is 25 cm, while the magnitude of the focal length of the diverging lens is 40 cm. An object 8.25 cm tall is placed 35 cm to the left of the converging lens. (a)Where is the final image produced by this combination of lenses? (Give your answer relative to the diverging lens.) (b)Compared to the object, is the final image upright or inverted? Is it real or virtual?

An object is placed 15 cm from a spherical concave mirror with a focal length of magnitude 20 cm. If the object is 4.0 cm tall, how tall is the image?

A concave mirror having a focal length of magnitude 5.0 cm forms an image 4.0 cm behind the mirror. Where is the object for this image?

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?

Starting from very far away, an object is moved closer and closer to a converging lens, eventually reaching the lens. What happens to its image formed by that lens? (There could be more than one correct choice.)

An object that is 75 cm tall is located 3.8 m in front of a plane mirror. The image formed by the mirror appears to be