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Light travels a distance  x  in time t_1 in air and  10x in time  t_2 in another denser medium. What is the critical angle for this medium?

Option: 1

\sin ^{-1}\left(\frac{t_2}{t_1}\right)


Option: 2

\sin ^{-1}\left(\frac{10 t_2}{t_1}\right)


Option: 3

\sin ^{-1}\left(\frac{t_1}{10 t_2}\right)


Option: 4

\sin ^{-1}\left(\frac{10 t_1}{t_2}\right)


Answers (1)

best_answer

\begin{aligned} & \sin \theta_c=\frac{v_2}{v_1}=\left(\frac{10 x / t_2}{x / t_1}\right)=\frac{10 t_1}{t_2} \\ & \theta_c=\sin ^{-1}\left(\frac{10 t_1}{t_2}\right) \end{aligned}

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HARSH KANKARIA

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