A) \[\frac{a}{c}=\frac{4}{3}\]
B) \[\frac{a}{c}=\frac{3}{4}\]
C) \[\frac{b}{d}=\frac{4}{3}\]
D) \[\frac{b}{d}=\frac{3}{4}\]
Correct Answer: A
Solution :
[a] Applying Snell's law \[{{\mu }_{1}}\sin i={{\mu }_{2}}\sin r\] \[\left( \frac{3}{2} \right)\left( \frac{a}{\sqrt{{{a}^{2}}+{{b}^{2}}}} \right)=2\left( \frac{c}{\sqrt{{{c}^{2}}+{{d}^{2}}}} \right)\] Here, \[\sqrt{{{a}^{2}}+{{b}^{2}}}=\sqrt{{{c}^{2}}+{{d}^{2}}}=1,\,\,\,\,\,\therefore \,\,\,\,\,\frac{a}{c}=\frac{4}{3}\]You need to login to perform this action.
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