IAT (IISER) 2022 | Ray Optics Question 3 | Physics

A thin lens made of material of refractive index $n_l$ forms the image at the position $I$ of a point object held at $O$ on the central axis of the lens, as is shown in the ray diagram below. Consider that the refractive index of the medium is $n_m$ and $n_l>n_m$ for the figure given. Where does the image form when $n_l

At point A

At point B

At point $C$

At point D

IAT (IISER) 2020

MCQ (Single Correct Answer)

-1

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 $n_1>n_2$ ?

IAT (IISER) 2020 Physics - Ray Optics Question 4 English

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

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

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

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

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