| Direction: Read the passage carefully and answer the following question. The path of a light ray from air to two different media A and B for a given angle of incidence is as shown. |
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A) \[{{n}_{A}}={{n}_{B}}\]
B) \[{{n}_{A}}>{{n}_{B}}\]
C) \[{{n}_{A}}<{{n}_{B}}\]
D) Cannot be said.
Correct Answer: C
Solution :
\[{{n}_{A}}=\frac{\sin i}{\sin r}=\frac{\sin {{45}^{o}}}{\sin {{45}^{o}}}=1\] \[{{n}_{B}}=\frac{\sin {{45}^{o}}}{\sin {{30}^{o}}}=\frac{1}{\sqrt{2}}\times \frac{2}{1}=\sqrt{2}=1.414\]
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