sound physics

Snell’s Law and Critical Angles

1. A light wave traveling in air passes into the water in a swimming pool at an angle of incidence of 25˚. Calculate the angle of refraction of the light in water.

2. Light entering a block of glass at an angle of incidence of 20.5˚ leaves the boundary between the air and the glass at an angle of 14.0˚. What is the index of refraction of this type of glass?

3. Light is incident on diamond at an angle of 10.0˚. If the refractive index of a diamond is n=2.4175, at what angle will it refract in the diamond?

4. A transparent material has a refractive index of 1.35. What is the angle of incidence in air when the angle of refraction in the substance is 40˚?

5. What is the index of refraction of a material if the angle of incidence in air is 40˚ and the angle of refraction in the material is 30˚?

6. A ray of light passes from water into carbon disulphide ( nd = 1.63 ) with an angle of incidence of 38˚. What is the angle of refraction in the carbon disulphide?

7. A ray of light travels from air into water (n = 1.33) then into glass ( n = 1.50 ) as shown in the diagram. Find the angle of refraction in the glass.

40˚

air

water

glass

For questions 8 – 10, assume the other medium is air.

8. Calculate the critical angle for diamond (n=2.4175).

9. What is the critical angle for a glass that has an index of refraction of 1.57?

10. A certain material has a critical angle of 37.0˚. What is its index of refraction?