The refractive index of the material of a prism is `sqrt(2)` and the angle of the prism is `30^(@)` . One of the two refracting surfaces 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 is path (after reflection from the silvered surface) if its angle of incidence on the prism is
A
`30^(@)`
B
`45^(@)`
C
`60^(@)`
D
zero
Text Solution
Verified by Experts
The correct Answer is:
B
Applying Snell.s law at point M, `(sini)/(sin30^(@)) = (sqrt(2))/(1)` `or, sin i = sqrt(2) xx (1)/(2)` `= (1)/(sqrt(2))` `therefore " " i = 45^(@)`
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