-->

Ray Optics And Optical Instruments

Question
CBSEENPH12040137

The refractive index of the material of a prism is 2 and the angle of the prism is 30°. One of the two refracting surfaces of the prism is made a mirror inwards, by a silver coating. A beam of monochromatic light entering the prism from the other face will retrace its path (after reflection from the silvered surface) if its angle of incidence on the prism is

  • 60°

  • 45°

  • zero

  • 30°

Solution

B.

45°

For retracing the path, light ray should be normally incident on silvered face.

A = r + O r = 30o

Applying Snell's law at point M,
Sin iSin 30o = 21 sin i  = 2 x 12 sin i  = 2  x 12Or sin i = 12 i.e., i = 45o