IAT (IISER) 2020 | Ray Optics Question 1 | Physics

What is the maximum angle of incidence $\theta_i$ in the figure for which the ray would satisfy the condition for total internal reflection at the boundary of media of refractive indices $n_1$ and $n_2$, where $n_1>n_2$ ?

$\theta_i=\sin ^{-1}\left(n_1^2-n_2^2\right)$

$\theta_i=\sin ^{-1}\left(n_1-n_2\right)^2$

$\theta_i=\sin ^{-1}\left(\sqrt{\frac{n_2}{n_1}}\right)$

$\theta_i=\sin ^{-1}\left(\sqrt{n_1^2-n_2^2}\right)$

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