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Two transparent media A and B are separated by a plane boundary. The speed of light in those media are  1.5\times10^{8}m/s and 2.0\times10^{8}m/s respectively. The critical angle for a ray of light for these two media is :

Option: 1

\sin ^{-1}(0.750) \\


Option: 2

\tan^{-1}(0.500) \\


Option: 3

\tan ^{-1}(0.750) \\


Option: 4

\sin ^{-1}(0.500)


Answers (1)

best_answer

\mathrm{V_{1}=1.5 \times 10^{8} \mathrm{~m} / \mathrm{s} }\\

\mathrm{V_{2}=2 \times 10^{8} \mathrm{~m} / \mathrm{s}} \\

\mathrm{\mu \propto \frac{1}{V}} \\

\mathrm{\mu_{1}>\mu_{2}}

\mathrm{\sin i_{c} =\frac{1}{\mu_{D}^{R}}=\frac{\mu_{R}}{\mu_{D}}=\frac{\mu_{2}}{\mu_{1}}} \\

\mathrm{\sin _{c} =0.75} \\

\mathrm{i_{c} =\sin^{-1}(0.75)}

Hence correct option is 1

Posted by

shivangi.shekhar

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