Consider light travelling from a medium A to medium B separated by a plane interface. If the light undergoes t…

Question

Consider light travelling from a medium A to medium B separated by a plane interface. If the light undergoes total internal reflection during its travel from medium A to medium B and the speed of light in media A and B are $2.4 \times 10^8 \, \text{m/s}$ and $2.7 \times 10^8 \, \text{m/s}$ , respectively, then the value of critical angle is :

A
$\sin^{-1}\left(\frac{9}{8}\right)$
B
$\cos^{-1}\left(\frac{8}{9}\right)$
C
$\tan^{-1}\left(\frac{8}{\sqrt{17}}\right)$
D
$\cot^{-1}\left(\frac{3}{\sqrt{13}}\right)$

Accepted Answer

C. $$	an^{-1}\left(\frac{8}{\sqrt{17}}ight)$$

Answer

A. $$\sin^{-1}\left(\frac{9}{8}\right)$$

Answer

B. $$\cos^{-1}\left(\frac{8}{9}\right)$$

Answer

D. $$\cot^{-1}\left(\frac{3}{\sqrt{13}}\right)$$

Answer & step-by-step solution

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