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When a glass prism of refracting angle 6...

When a glass prism of refracting angle `60^(@)` is immersed in a liquid its angle of minimum deviation is `30^(@)`. The critical angle of glass with respect to the liquid medium is

A

`42^(@)`

B

`45^(@)`

C

`50^(@)`

D

`52^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
`n = (sin ( (A + delta_(m))/(2) ) )/(sin (A)/(2) ) = (sin 45^(@))/(sin 30^(@)) = sqrt(2)`
Critical angle ,
`i_(c ) = sin^(-1) ((1)/(n)) =sin^(-1) ((1)/(sqrt(2))) = 45^(@)`.
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