Q123 / 180 · NEET 2018 · Physics

The refractive index of the materiel of a prism is 2 and the angle of the prism is 30o. One of the two refracting surface of the prism is made a mirror inwards, by 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

  • A
    30o
  • Correct answer
    B
    45o
  • C
    60o
  • D
    Zero

Solution

by principle of reversibility, the beam will return its path when it strikes the mirror perpendicularly
Figure

r2=0,   r1=A=30o
∴ r 1 + r 2 =A in a prism
Applying Snell's law at P sin⁡i=2sin⁡30o=2×12=12

∠i=45o

Hence, the correct answer is option: 'B'.

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