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There is a spherical glass ball of refra...

There is a spherical glass ball of refractive index `mu_(1)` and another glass ball of refractive index `mu_(2)` inside as shown in figure . The radius of the outer ball is `R_(1)` and that of inner ball is `R_(2)`. A ray is incident on outer surface of the ball at an angle `i_(1)`,

Find the value of `r_(1)`

A

`sin^(-1)((sini_(1))/(mu_(1)))`

B

`sin^(-1)(mu_(1) sini_(1))`

C

`sin^(-1)((mu_(1))/("sin"i_(1)))`

D

`sin^(-1)((1)/(mu_(1)"sin"i_(1)))`

Text Solution

Verified by Experts

The correct Answer is:
A
`mu_(1) "sin"r_(1) = "sin"i_(1) implies r_(1) = sin^(-1)(("sin"i_(1))/(mu_(1)))`
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