A) \[\frac{4}{3}\]
B) \[\sqrt{2}\]
C) 1.5
D) \[\sqrt{3}\]
Correct Answer: B
Solution :
Critical angle\[({{\theta }_{C}})\]is the angle of incidence\[(i)\]in the denser medium for which the angle of refraction in the rarer medium is\[{{90}^{o}}\]. For total internal reflection to take place \[i>{{\theta }_{C}}\] Taking sine on both sides, we get \[\sin i>\sin {{\theta }_{C}}\] [as angle\[i\]at both faces will be \[{{45}^{o}}\]] \[\Rightarrow \] \[\frac{1}{\sqrt{2}}>\frac{1}{\mu }\] \[\Rightarrow \] \[\mu >\sqrt{2}\]
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