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Exam 33: Ray Optics

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Question 31

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A ray of light strikes a boundary between two transparent materials,and there is no transmitted ray,as shown in the figure.What can you conclude about the indices of refraction of these two materials?

A) n₁ ≥ n₂
B) n₁ > n₂
C) n₁ = n₂
D) n₂ ≥ n₁
E) n₂ > n₁

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Question 32

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Light in air is initially traveling parallel to the face AC of an equilateral triangular prism,as shown in the figure.The prism is made of glass with an index of refraction of 1.52.If the light does not strike the face AC,what is the angle between the ray as it leaves the prism at face BC and the normal in air at that face?

A) 83°
B) 19°
C) 59°
D) 27°
E) 55°

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Question 33

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The objective and the eyepiece of a refracting astronomical telescope have focal lengths of 320 cm and 4.0 cm,respectively.The telescope is used to view Neptune and the final image is set at infinity.The diameter of Neptune is 4.96 × 10⁷ m and the distance from the earth at the time of observation is 4) 4 × 10¹² m.What is the angle (in mrad) subtended by the final telescopic image of Neptune?

In the figure,the thin lens forms a real image of the object 94.0 cm from the object.What is the focal length of the lens?

A tank holds a 1.44-m thick layer of oil that floats on a 0.96-m thick layer of brine.Both liquids are clear and do not intermix.Point O is at the bottom of the tank,on a vertical axis.The indices of refraction of the oil and the brine are 1.40 and 1.52,respectively.A ray originating at O reaches the brine-oil interface at the critical angle.What is the distance of this point from the axis?

A beam of light of two different wavelengths enters a pane of glass 3.00 mm thick at an angle of incidence of 56°. The indices of refraction for the two different colors are 1.514 and 1.528.Because of dispersion,the colored beams,although parallel,are separated by a small distance.How far apart are they?

Which one of the following is a characteristic of a compound microscope?

As you walk away from a vertical plane mirror,your image in the mirror

A thin converging lens is found to form an image of a distant building 24 cm from the lens.If an insect is now placed 16 cm from this lens,how far FROM THE INSECT will its image be formed?

A ray of light traveling in air strikes the surface of a certain plastic slab at 63.0° with respect to the normal in air.It travels in the plastic slab at a 30.6° angle with respect to the normal.Find the critical angle for the plastic in air.

The speed of light in a material is 0.50c.What is the critical angle of a light ray at the interface between the material and a vacuum?

When an object 1.15 cm tall is placed 12 cm from a lens,the lens produces an upright image of the object that is 5.75 cm tall.What is the focal length of the lens?

You have available lenses of focal lengths 2.0 cm,4.0 cm,8.0 cm,and 16.0 cm. (a)If you were to use any two of these lenses to build a telescope,what is the maximum magnification you could achieve? (b)If you were to use any two of these lenses to build a telescope,what is the lens separation for the maximum magnification telescope?

Suppose you place your face in front of a concave mirror.Which one of the following statements is correct?

In the figure,the radius of curvature of the curved part of the lens is 35.0 cm,and the refractive index of the lens material is 1.620.What is the focal length of the lens?

A man's face is 30 cm in front of a concave spherical shaving mirror. If the image is erect and 1.5 times as large as his face,what is the radius of curvature of the mirror?

A ray of light passes from glass into a liquid,as shown in the figure.What is the speed of the light in the liquid? (c = 3.00 × 10⁸ m/s)

A convex lens has a focal length f.An object is placed at a distance between f and 2f on a line perpendicular to the center of the lens.The image formed is located at what distance from the lens?

A thin double convex lens is to focus the image of an object onto a screen so that the image is life-sized.The lens surfaces have equal radii of curvature of 112 cm,and the refractive index of the lens material is 1.500. (a)How far from the lens should the screen be placed? (b)How far is the screen from the object?

A convex spherical mirror with a radius of 50 cm has a 4.0 cm tall object placed 100 cm in front of it.What is the position of the image relative to the mirror?