A ray of light incident normally on an isosceles right angled prism travels as shown in the figure. The refractive index of the prism must be greater than

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$\sqrt{2}$

$\sqrt{3}$

1.5

answer is A.

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Detailed Solution

Inside the prism for total internal reflection , i $> c \Rightarrow \sin i > \sin c \Rightarrow \sin 45^{0} > \frac{1}{μ} \Rightarrow μ < \sqrt{2} \Rightarrow μ_{m i n} = \sqrt{2}$

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