A) \[\sqrt{2}\times {{10}^{8}}m{{s}^{-1}}\]
B) \[\sqrt{3}\times {{10}^{8}}m{{s}^{-1}}\]
C) \[2\times {{10}^{8}}m{{s}^{-1}}\]
D) \[3\times {{10}^{8}}m{{s}^{-1}}\]
Correct Answer: B
Solution :
Refractive index of glass, \[{{\mu }_{g}}=\tan {{\theta }_{p}}\] where\[{{\theta }_{p}}=\]polarising angle \[\Rightarrow \] \[{{\mu }_{g}}=\tan {{60}^{o}}=\sqrt{3}\] Now, \[{{\mu }_{g}}=\frac{c}{{{v}_{g}}}\] \[\therefore \] \[\frac{c}{{{v}_{g}}}=\sqrt{3}\] \[\Rightarrow \] \[{{v}_{g}}=\frac{3\times {{10}^{8}}}{\sqrt{3}}\] \[=\sqrt{3}\times {{10}^{8}}m/s\]
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