Question 1

A light beam with wavelength 440 nm in a certain material then enters air and its wavelength becomes 577 nm.
(a)What is the index of refraction for the material?
(b)At what angle with the plane of the surface will the light be totally reflected back into the material?

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Question 2

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 answer of The critical angle for a substance in...

Question 3

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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Question 4

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?

Accepted Answer

We can use Snell's Law to solve this problem. 
n1sinθ1 = n2sinθ2 
where n1 is the index of refraction of the first medium (air) and n2 is the index of refraction of the second medium (glass).

We are given:
n1 = 1 (index of refraction of air) 
θ1 = 52° 
n2 = 1.4 (index of refraction of glass)

We want to find θ2, the angle the beam makes with the normal in the glass.

Plugging in the values we get:
1(sin52°) = 1.4(sinθ2)

Solving for θ2 we get:
θ2 ≈ 26°

Therefore, the answer is C) 26°.

Question 5

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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Question 6

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.

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The answer of A ray of light traveling in air...

Question 7

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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Question 8

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?

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The answer of A beam of light, traveling in air,...

Question 9

A beam of light traveling in air strikes a slab of transparent material. The incident beam makes an angle of 40° with the normal, and the refracted beam make an angle of 26° with the normal. What is the speed of light in the transparent material? (c = 3.0 × 10⁸ m/s)

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Question 10

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?

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Question 11

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.

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Question 12

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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Question 13

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?

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Question 14

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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Question 15

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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Question 16

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?

Accepted Answer

The answer of A light ray in glass arrives at...

Question 17

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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Question 18

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?

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Question 19

A thick slab of plastic lies at the bottom of a tank filled with water having an index of refraction of 1.33. A narrow laser beam is shone directly downward through the water on the plastic. You then gradually rotate the laser, thereby increasing the angle with respect to the normal that it strikes the plastic. You carefully note that at the instant the beam makes an angle of 66.5° with the normal in the water, no light enters the plastic, but it did enter for angles smaller than that. What is the speed of light in the plastic slab? (c = 3.00 × 10⁸ m/s)

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Question 20

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?

Accepted Answer

Using Snell's Law, 
n1 sin θ1 = n2 sin θ2 
where n1 and n2 are the refractive indices of air and the substance respectively, and θ1 and θ2 are the angles of incidence and refraction. 
At the critical angle, the angle of refraction would be 90°. 
Thus, 
sin critical angle = n2/n1 = sin 90°/sin 23° 
n2/n1 = 1/sin 23° 
Using the given angles, 
n1 sin 30° = n2 sin 23° 
n2/n1 = sin 30°/sin 23° 
Substituting this value in the previous equation, 
sin critical angle = sin 23°/sin 30° 
sin critical angle = 0.483
critical angle = sin-1 (0.483) 
critical angle ≈ 51.4°. 
Therefore, the correct answer is B.

Quiz 18: Ray Optics

A light beam with wavelength 440 nm in a certain material then enters air and its wavelength becomes 577 nm. (a)What is the index of refraction for the material? (b)At what angle with the plane of the surface will the light be totally reflected back into the material?

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?

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?

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?

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?

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 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 beam of light traveling in air strikes a slab of transparent material. The incident beam makes an angle of 40° with the normal, and the refracted beam make an angle of 26° with the normal. What is the speed of light in the transparent material? (c = 3.0 × 10⁸ m/s)

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.

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.

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?

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?

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?

Quiz 18: Ray Optics

A light beam with wavelength 440 nm in a certain material then enters air and its wavelength becomes 577 nm. (a)What is the index of refraction for the material? (b)At what angle with the plane of the surface will the light be totally reflected back into the material?

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?

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?

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?

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?

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 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 beam of light traveling in air strikes a slab of transparent material. The incident beam makes an angle of 40° with the normal, and the refracted beam make an angle of 26° with the normal. What is the speed of light in the transparent material? (c = 3.0 × 108 m/s)

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.

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.

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?

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?

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?

A beam of light traveling in air strikes a slab of transparent material. The incident beam makes an angle of 40° with the normal, and the refracted beam make an angle of 26° with the normal. What is the speed of light in the transparent material? (c = 3.0 × 10⁸ m/s)