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Ray Optics And Optical Instruments

Question
CBSEENPH12047708

What should be the minimum value of refractive index of the material of the prism for the reflections to take place as shown in the figure? 

              

  • 1.7

  • 1.4

  • 1.2

  • 2.7

Solution

B.

1.4

The ratio of the sine of the angle of incidence to the sine of angle of refraction is constant. The angles of incidence (i ) and refraction (r ) are the angles that the incident and its refracted ray make with the normal, respectively.

From the formula the minimum refractive index is

μm = sin isin r =sin 90osin 45o       =112 =2 =1.414  μm  =1.4