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 Free problems: all problems
 Kinematics Dynamics Conservation laws Thermodynamics Waves Electricity Magnetism Optics Fluids and elasticity Ideal gas AC current

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# Physics problems:optics

law of refraction

Problem 3.

Light is incident from air on the surface of a glass slab. In the air the light beam makes an angle of  with the normal to the surface, while in the glass the angle is . What is the index of refraction of the glass?

Solution

Problem 4.

Light is incident from air on the surface of a glass slab, which has an index of refraction of 2.5. In the air the light beam makes an angle of  with the normal to the surface. What is the angle of the beam with the normal in the glass?

Solution

Problem 35.

A light ray in air is incident on a glass slab at an angle of  measured from the normal. What is the ray’s direction in the glass? The index of refraction of the glass is 1.6.

Problem 42.

Light in vacuum is incident on the surface of a glass slab. In the vacuum the beam makes an angle of  with the normal to the surface, while in the glass it makes an angle of  with the normal. What is the index of refraction of the glass?

Problem 43.

A point source of light is 60 cm below the surface of water. Find the diameter of circle at the surface through which light emerges from the water.

Solution

Problem 44.

The index of refraction of liquid is 1.9. What is the critical angle for a light ray travelling in the liquid toward a flat layer of air?

Solution

Problem 45.

A light ray is perpendicular to the face AB of a glass prism (index of refraction = 1.4). Find the largest value for angle  so that the ray is totally reflected at face BC. The prism is immersed in air.

Problem 46.

A light ray enters a glass slab at incident angle  as shown in the figure. Then it undergoes total internal reflection. What is the minimum value of the index of refraction of the slab?

Problem 51.

A diamond is under water. A light ray enters one face of the diamond (index of refraction is 2.4), then travels at an angle of  with respect to the normal. What was the ray’s angle of incidence on the diamond? Index of refraction of water is 1.33.

Problem 52.

An underwater diver sees the sun  above the horizontal. How high is the sun above the horizon to a fisherman in a boat above the diver?

Solution

Problem 53.

To a fish in an aquarium, the 6-mm-thick walls appear to be only 5-mm-think. What is the index of refraction of the walls?

Solution

Problem 54.

To a fish in an aquarium, the walls appear to be only 7-mm-think. The index of refraction of the walls is 1.9. What is the actual thickness of the walls?

Problem 57.

Light enters a glass at an angle of incidence of . The index of refraction of the glass is 1.6. What is the angle of refraction?

Solution

Problem 58.

Light going from glass (index of refraction = 1.4) to ethanol has a critical angle of incidence of . What is the index of refraction of ethanol?

Problem 60.

Find the critical angle for total internal reflection for light going from ice (index of refraction = 1.31) into air.

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