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Exam 22: Reflection and Refraction

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Question 1

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An oil layer that is 5.0 cm thick is spread smoothly and evenly over the surface of water on a windless day.A light ray from the air above enters the oil at 45° with the normal and then goes into the water.What is the angle of refraction of this ray in the water? The index of refraction for the oil is 1.15,and for water it is 1.33.

A) 27°
B) 32°
C) 36°
D) 39°

E) B) and C)
F) A) and C)

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Question 2

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Light enters glass from air.The angle of refraction will be

A) greater than the angle of incidence.
B) equal to the angle of incidence.
C) less than the angle of incidence.

D) None of the above
E) A) and C)

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Question 3

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A tank holds a layer of oil,of thickness T_o = 1.65 m,that floats on a layer of syrup of thickness T_s = 0.830 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 m from the axis.The ray continues and arrives at the oil-air interface,2.00 m to the right of P and at the critical angle.What is the index of refraction of the syrup?

Light goes from material having a refractive index of n₁ into a material with refractive index n₂.If the refracted light is bent away from the normal,what can you conclude about the indices of refraction?

A beam of light,traveling in air,strikes a plate of transparent material at an angle of incidence of 56.0°.It is observed that the reflected and refracted beams form an angle of 90.0°.What is the index of refraction of this material?

A ray of light in glass strikes a water-glass interface at an angle of incidence equal to one-half the critical angle for that interface.The index of refraction for water is 1.33,and for the glass it is 1.43.What angle does the refracted ray in the water make with the normal?

Light enters air from water.The angle of refraction will be

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 glass plate having an index of refraction is 1.66 is immersed in a certain alcohol.The surface of the glass is inclined at an angle of 44° with the vertical.When a horizontal ray in the glass strikes the interface,you observe that it is at the critical angle.What is the index of refraction of the alcohol?

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 θ₁ if the beam is not to escape from the sides of the fiber if it is surrounded by air?

A beam of light in air enters a glass slab with an index of refraction of 1.40 at an angle of incidence of 30.0°.What is the angle of refraction?

A flashlight beam makes an angle of 60° with the plane of the surface of a calm lake before it enters the water.In the water what angle does the beam make with the plane of the surface? The index of refraction of water is 1.33.

An optic fiber is made of clear plastic with an index of refraction of 1.50.For what range of angles of incidence θ with the lateral surface of the fiber will light remain inside the plastic "guide" if it is surrounded by air?

The index of refraction for a certain material is 1.399 for red light and 1.432 for blue light.Light containing both of these colors is traveling in vacuum and strikes a flat sheet of this material.Find the angle separating the two colors in the refracted light in the sheet if the angle of incidence is 60.00°.

A light ray in glass arrives at the glass-water interface an an angle of θ = 48° with the normal.The refracted ray in water makes an angle φ = 72° angle 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 = 37°.What is the new angle of refraction φ in the water?

A ray of light traveling in air makes a 63.0° angle with respect to the normal of the surface of a liquid.It travels in the liquid at a 39.2° angle with respect to the normal.Find the critical angle for total internal reflection for this interface.

A narrow light beam in vacuum contains light of two wavelengths,480 nm and 700 nm.It strikes a flat piece of glass at an angle of incidence of 60.000°.The index of refraction of the glass is 1.4830 at 480 nm and 1.4760 at 700 nm.Determine the angle between the two wavelengths as the light travels in the glass.

A light beam is traveling inside a glass block that has an index of refraction of 1.46.As this light arrives at the surface of the block,it makes an angle of 53.0° with the normal.At what angle with the normal in the air will it leave the block?

A scuba diver is 1.2 m beneath the surface of a still pond of water.At what angle relative to the normal at the surface must the diver shine a beam of light toward the surface in order for a person on a distant bank to be able to see it? The index of refraction for water is 1.33.

A light ray in air strikes a glass plate whose index of refraction is 1.42.Some of the light reflects off the surface of the plate,but most of it enters the glass.If the angle of refraction is one-half the angle of reflection,the angle of refraction is closest to which one of the following angles?