A) \[{{75}^{o}}\]
B) \[{{30}^{o}}\]
C) \[{{45}^{o}}\]
D) \[{{60}^{o}}\]
Correct Answer: C
Solution :
| [c] The data is inconsistent |
| Taking boundary as \[x-y\] plane instead of \[x-z\] plane, the angle of incidence is given as |
| \[\cos \theta =\frac{(-\hat{k}).(6\sqrt{3}\hat{i}+8\sqrt{3}\hat{j}-10\hat{k})}{\sqrt{108+192+100}}\] |
| \[=\frac{1}{2}\Rightarrow \theta ={{60}^{o}}\] |
| Now, \[\sqrt{2}\sin {{60}^{o}}=\sqrt{3}\sin r\] |
| \[\Rightarrow \,\,\sin r=\frac{1}{\sqrt{2}}\] |
| \[\Rightarrow \,\,r={{45}^{o}}\] |
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