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

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4/3

$\sqrt{2}$

1.5

$\sqrt{3}$

answer is B.

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Detailed Solution

As $AB = BC, ∠ A = ∠ C = 45^{\circ}$ , At each reflection $∠ i = 45^{\circ} = C$ {critical angle}
$∴$ $minimum value of μ = \frac{1}{\sin C} = \frac{1}{\sin 45^{\circ}} = \sqrt{2}$

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