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Exam 32: Geometric Optics

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Question 31

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A cladded optical fiber for transmitting red light is constructed by placing a cladding material around a round plastic optical fiber.If the index of refraction of the plastic fiber core is 1.6 and the index of refraction of the cladding is 1.2,what is the critical angle for light to transport through the plastic fiber core without loss?

A) 34 ^$\circ$
B) 39 ^$\circ$
C) 41 ^$\circ$
D) 49 ^$\circ$
E) 56 ^$\circ$

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Question 32

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A collimated laser beam moves upward an angle 20.0 ^$\circ$ with respect to horizontal and strikes the left side of a ZnSe block.The block has an index of refraction of 2.44 and is surrounded by air with an index of 1.00.The left side of the glass block is vertical (90.0 ^$\circ$ from horizontal) while the right side of the block slopes upward at an angle of 75.0 ^$\circ$ from horizontal,i.e.,the block is thicker at the top than at the bottom.Determine the angle with respect to horizontal at which the light travels after it exits the right surface of the block.

A) 58 ^$\circ$
B) 73 ^$\circ$
C) 0 ^$\circ$
D) 2.2 ^$\circ$
E) 88 ^$\circ$

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Question 33

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For a concave mirror,when is the object distance equal to the image distance?

A ray of light in air with a wavelength of 600 nm is incident on a liquid with an index of refraction of 1.5.The ray of light makes an angle of 45 degrees with the normal when it enters the liquid.What is the wavelength of the ray of light in the liquid?

Which of the following statements is incorrect?

An object is placed 40 cm from a concave mirror with radius of curvature 50 cm.The image will be

A green laser beam and a red laser beam are directed onto the surface of a pool of water at an angle of 28 ^$\circ$ to the normal.Which of the following are true?

A concave mirror has a radius of curvature of 30 cm.An object is located 45 cm in front of the mirror.Where is the image formed,and what are its properties?

The critical angle for total internal reflection for light entering water (n = 1.33) from oil is 61 ^$\circ$ .What is the index of refraction of the oil?

An optical fiber with index of refraction of 1.340 is surrounded by air.What is the critical angle for light to transport through this fiber without loss?

If n₁ = 1.3 and n₂ = 2.2,what is the condition for the angle $\theta$ for no light escaping?

Light hits the surface of water (n = 1.33) at an incident angle of 25.0 degrees with respect to the normal line.What is the angle between the reflected ray and the refracted ray?

A beam of light enters a liquid solution from air at an angle of 35 ^$\circ$ with the normal to its surface.The refracted beam makes an angle of 24 ^$\circ$ to the normal of the liquid.What is the index of refraction for the liquid?

The speed of light in an optical fiber is 1.83 * 10⁸ m/s What is the index of refraction of the optical fiber?

The the frequency and wavelength of light in an optical fiber are 4.57 *10¹⁴ Hz and 437 nm,respectively.What is the critical angle for light in this optical fiber,if the fiber is surrounded by water (n=1.33) ?

An optical fiber with an index of refraction of 1.5 is used to transport light of wavelength 400 nm.What is the critical angle for light to transport through this fiber without loss if the fiber is immersed in water?

Light passing through water (n = 1.33) in an aquarium is incident upon the heavy glass tank wall (n = 1.625) and is partially reflected.At what angle of incidence is the reflected light fully polarized?

A single concave spherical mirror is used to create an image of a 6.00-cm tall source.The source is located 23.0 cm to the left of the mirror's center of curvature.The magnitude of the radius of curvature for the mirror is 12.0 cm.Calculate the magnification.

Standing by the pool filled with water,under what condition will you see the reflection of the scenery on the opposite side through total internal reflection of the image?

A periscope consists of two flat mirrors and is used for viewing objects when an obstacle impedes the direct viewing.Suppose that Curios George is looking through a periscope at the man with the yellow hat whose hat is at d_o = 2.0 m from the upper mirror and that the two flat mirrors.If the image of the man is d_i = 2.75 m away from the lower mirror,what is the distance between the two mirrors?