A) Velocity of light in the second medium is 1.73 times the velocity of light in the I medium
B) Velocity of light in the medium is 1.73 times the velocity in the II medium
C) The critical angle for the two media is given by sin \[{{i}_{c}}=\frac{1}{\sqrt{3}}\]
D) sin \[{{i}_{c}}=\frac{1}{2}\]
Correct Answer: B
Solution :
From graph \[\tan {{30}^{o}}=\frac{\sin r}{\sin i}=\frac{1}{_{1}{{\mu }_{2}}}\] Þ \[_{1}{{\mu }_{2}}=\sqrt{3}\] Þ \[\frac{{{\mu }_{2}}}{{{\mu }_{1}}}=\frac{{{v}_{1}}}{{{v}_{2}}}=1.73\] Þ\[{{v}_{1}}=1.73\,{{v}_{2}}\] Also from \[\mu =\frac{1}{\sin C}\] Þ \[\sin C=\frac{1}{_{Rarer}{{\mu }_{Denser}}}\] Þ \[\sin C=\frac{1}{_{1}{{\mu }_{2}}}=\frac{1}{\sqrt{3}}\].
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