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A ray of light incident normally on an i...

A ray of light incident normally on an isosceles right angled prism travels as shown in the figure. The least value of the refractive index of the prism must be

A

`sqrt(2)`

B

`sqrt(3)`

C

`1.5`

D

`2.0`

Text Solution

Verified by Experts

The correct Answer is:
A
From figure it is clear that `TIR` takes place at surface `AC` ans `BC`
`i.e., 45^(@)gtC`
`implies sin 45^(@)gtsin Cimplies (1)/(sqrt(2))gt(1)/(mu)impliesmugtsqrt(2)`
`impliesmugtsqrt(2)`
Hence `mu_(l e as t)=sqrt(2)`
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