A) \[\theta <{{57}^{o}}\]
B) \[\theta >{{57}^{o}}\]
C) \[\theta ={{57}^{o}}\]
D) Cant be determined
Correct Answer: B
Solution :
For air to glass \[\frac{{{\mu }_{g}}}{{{\mu }_{a}}}=\frac{1}{\sin C}\] \[\frac{{{\mu }_{g}}}{{{\mu }_{a}}}=\frac{1}{\sin {{57}^{o}}}\] ? (1) For water to glass \[\frac{{{\mu }_{g}}}{{{\mu }_{w}}}=\frac{1}{\sin \theta }\] ? (2) Dividing eq (2) by eq (1) \[\frac{{{\mu }_{a}}}{{{\mu }_{w}}}=\frac{\sin {{57}^{o}}}{\sin \theta }\] \[\sin \theta =\frac{{{\mu }_{w}}\sin {{57}^{o}}}{{{\mu }_{a}}}\] \[\because \] \[{{\mu }_{a}}=1\]and\[{{\mu }_{w}}=1.33\] \[\therefore \] \[\theta >{{57}^{o}}\]
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