Question

Assertion :The maximum refractive index of liquid for total internal reflection of the ray passing through the prism should be $\sqrt{2}$ Reason: Here critical angle is ${45}^{\circ }$

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

We have refractive index,
$\mu =\frac{1}{sinC}$

where $C$ is the critical angle.

Given that refractive index is $\sqrt{2}$

$⟹\sqrt{2}=\frac{1}{sinC}$

$⟹C={45}^o$