Exam 22: Reflection and Refraction

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A thin flashlight beam traveling in air strikes a glass plate at an angle of 52° with the plane of the surface of the plate.If the index of refraction of the glass is 1.4,what angle will the beam make with the normal in the glass?

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A tank holds a layer of oil,of thickness To = 1.43 m,that floats on a layer of syrup of thickness Ts = 0.640 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 oil? A tank holds a layer of oil,of thickness T<sub>o</sub> = 1.43 m,that floats on a layer of syrup of thickness T<sub>s</sub> = 0.640 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 oil?

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Light travels from crown glass,with a refractive index of 1.52,into water,having a refractive index of 1.33? The critical angle for this interface is closest to which one of the following angles?

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Light enters a substance from air at 30.0° to the normal.It continues within the substance at 23.0° to the normal.What is the critical angle for this substance when it is surrounded by air?

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Lucite has an index of refraction of 1.50.What is its critical angle if it is in air?

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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.

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Light in a transparent material that has an index of refraction of 1.333 strikes the boundary with another transparent material for which the index of refraction is 1.010.What is the critical angle for total internal reflection between these two materials?

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A ray of light (ray a)in air strikes a flat piece of glass at an angle of φ0 = 84° with respect to the normal,as shown in the figure.The index of refraction of the glass is 1.5.What is the angle θ between the reflected ray (ray b)and refracted ray (ray c)rays? A ray of light (ray a)in air strikes a flat piece of glass at an angle of φ<sub>0</sub> = 84° with respect to the normal,as shown in the figure.The index of refraction of the glass is 1.5.What is the angle θ between the reflected ray (ray b)and refracted ray (ray c)rays?

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As shown in the figure,a laser positioned on a ship is used to communicate with a small research submarine resting on the bottom of a lake.The laser is positioned 12 m above the surface of the water,and it strikes the water 20 m from the side of the ship.The water is 58 m deep and has an index of refraction of 1.33.How far horizontally is the submarine from the side of the ship? (Assume all numbers are accurate to three significant figures.) As shown in the figure,a laser positioned on a ship is used to communicate with a small research submarine resting on the bottom of a lake.The laser is positioned 12 m above the surface of the water,and it strikes the water 20 m from the side of the ship.The water is 58 m deep and has an index of refraction of 1.33.How far horizontally is the submarine from the side of the ship? (Assume all numbers are accurate to three significant figures.)

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A point source of light is positioned 20.0 m below the surface of a lake.What is the diameter of the largest circle on the surface of the water through which light can emerge into the air? The index of refraction of water is 1.33.

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The critical angle for a beam of light passing from water into air is 48.8°.This means that all light rays with an angle of incidence in the water that is greater than 48.8° will be

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The critical angle for a substance in air is measured at 53.7°.If light enters this substance from air at 45.0° with the normal,at what angle with the normal will it continue to travel?

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The index of refraction of a type of glass is 1.50,and the index of refraction of water is 1.33.If light enters water from this glass,the angle of refraction will be

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A beam of light in water (of refractive index of 1.33)enters a glass slab (of refractive index 1.50)at an angle of incidence of 60.0°.What is the angle of refraction in the glass?

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A thin beam of light enters a thick plastic sheet from air at an angle of 32.0° with the normal and continues in the sheet at an angle of 23.0° with the normal.What is the index of refraction of the plastic?

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A glass plate with an index of refraction is 1.57 is immersed in an oil having a refractive index of 1.40.The surface of the glass is inclined at an angle of 54° with the vertical.A horizontal light ray in the glass strikes the interface.What is the angle that the refracted ray,in the oil,makes with the horizontal?

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