Q40 / 50 · Manipal (MET) 2023 · Physics

A ray falls on a prism $A B C(A B=B C)$ and travels as shown in figure. The minimum refractive index of the prism material should be

A
$4 / 3$
Correct answer
B
$\sqrt{2}$
C
$1.5$
D
$\sqrt{3}$

Solution

Angle $i$ at both focus will be $45^{\circ}$. For TIR to take place, $i\gt\theta_c$ or $\sin i\gt\sin \theta_c$ $\therefore \quad \frac{1}{\sqrt{2}}\gt\frac{1}{\mu}$ or $\mu\gt\sqrt{2}$

Hence, the correct answer is option: 'B'.

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