## Saturday, 6 September 2014

### THEORIES OF LIGHT PROBLEMS

THEORIES OF LIGHT

1. Using Huygens’ wave theory, show by means of a scale diagram how a plane wave may be totally intern­ally reflected at a glass-air boundary. The angle of incidence of the wave is 50o and the refractive index of the glass is 1.5.

2. Use Huygens’ wave theory to show that a series of light waves diverging from a point source will appear to be diverging from a second point after reflection at a plane mirror. Find the position of this point.

3. A plane wave of wavelength 1.0 cm is incident at an angle of 30o on a boundary between two media. If the refractive index of the second medium relative to the first is 2.4, use Huygens’ wave theory to con­struct a scale diagram to calculate the angle of refrac­tion of the wave in the second medium and the wavelength in that medium.

4. Light travelling through water in a parallel beam is incident on the horizontal water-air boundary.
If the velocity of light in water is 2.2x108 ms-1 and that in air 3.0x108 ms-1 calculate the maximum angle that the light can make with the vertical if light is to escape into the air.
How will this be affected if a thick layer of oil of refractive index 1.45 is floated on the surface of the water?

5. Give an account of the fundamental differences between Huygens wave theory and the accepted modern theory of the nature of light.