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PQR is a right angled prism with other a...

PQR is a right angled prism with other angles as `60^(@)` and `30^(@)` . Refractive index of prism is 1.5. PQ has a thin layer of liquid. Light falls normally on the face PR. For total internal reflection, maximum refractive index of liquid is

A

1.4

B

1.3

C

1.2

D

1.6

Text Solution

Verified by Experts

The correct Answer is:
B
For TIR at PQ :
`theta ge i_(c ) rArr 60 gt i_(c ) " " [ because theta 60^(@) ]`
`rArr " " (sqrt(3))/(2) gt (n_(l))/(n_(p)) " " rArr n_(l) lt (sqrt(3))/(2) xx n_(p)`
`rArr " " n_(l) lt (sqrt(3))/(2) xx 1.5 " " rArr n_(l) lt 1.3` .
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