| Assertion (A): A diamond of refractive index \[\sqrt{6}\] is immersed in a liquid of refractive index \[\sqrt{3}\] . If light travels from diamond to liquid, total internal reflection will take place when angle of incidence is \[{{30}^{o}}\]. |
| Reason (R): µ, = 1/sin C, where µ is the refractive index of diamond with respect to the liquid |
A) Both A and R are true and R is the correct explanation of A
B) Both A and R are true but R is NOT the correct explanation of A
C) A is true but R is false
D) A is false and R is True
Correct Answer: D
Solution :
| Option [d] is correct. |
| Explanation: Refractive index of diamond with respect to the liquid is \[\sqrt{6}/\sqrt{3}=\sqrt{2}\] |
| So, critical angle for the diamond-liquid pair of media is \[{{\sin }^{-1}}(1/\sqrt{2})={{45}^{\operatorname{o}}}\]. |
| For total internal reflection, angle of incidence should be greater that critical angle. |
| Since angle of incidence is \[{{30}^{o}}\], total internal reflection cannot take place. |
| So, the assertion is false. But the reason is true. |
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