A) \[3.33\,\mu s\]
B) \[6.67\,\mu s\]
C) \[5.77\,\mu s\]
D) \[3.85\,\mu s\]
Correct Answer: D
Solution :
When total internal reflection just takes place from lateral surface \[i=C,\]i.e., \[60{}^\circ C\] \[\Rightarrow \,\,\,\sin 60{}^\circ =\sin C=\frac{1}{\mu }\Rightarrow \mu =\frac{2}{\sqrt{3}}\] Time taken by light to traverse some distance a medium \[t=\frac{\mu x}{c}=\frac{\frac{2}{\sqrt{3}}\times {{10}^{3}}}{3\times {{10}^{8}}}=3.85\,\mu s.\]
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