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A right angled triangular prism of refra...


A right angled triangular prism of refractive index `mu_(1)` is kept floating on a liquid (surface) having refractive index `mu_(2)`. The condition such tat light incident normally passes through base of prism as shown in figure.

A

`mu_(1)=Cos2theta//Costheta`

B

`mu_(2)=Cos2theta//Costheta`

C

`mu_(1)=Sin2theta//Costheta`

D

`mu_(2)=Sin2theta//Sintheta`

Text Solution

Verified by Experts

The correct Answer is:
B
`sin(90-theta)=(1)/(mu_(1))impliescostheta=(1)/(mu_(1))to(1)`
`sin(90-2theta)=(1)/((mu_(1)//mu_(2)))`
`cos2theta=(mu_(2))/(mu_(1))=(mu_(2))/((1//costheta))thereforemu_(2)=(cos2theta)/(costheta)`
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