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There is a spherical glass ball of refractive index $μ_{1}$ and another glass ball of refractive index $μ_{2}$ inside it concentrically as shown in figure kept in air. The radius of the outer balls is $R_{1}$ and that of inner ball is $R_{2}$ . A ray is incident on the outer surface of the ball at an angle $i_{1}$ at A. Mark the correct options.
$(r_{1} {and r}_{2} are angles of refractions at A and B respectively)$

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The value of $r_{1}$ is $\sin^{- 1} (\frac{\sin i_{2}}{μ_{2}})$

The value of $r_{2}$ is $\sin^{- 1} (\frac{R_{1}}{μ_{2} R_{2}} \sin i_{1})$

The value of $r_{2}$ is $\sin^{- 1} (\frac{R_{2}}{μ_{2} R_{1}} \sin i_{1})$

The value of $r_{1}$ is $\sin^{- 1} (\frac{\sin i_{1}}{μ_{1}})$

answer is C, D.

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Apply snell’s law

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