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.

Foundation

Physics Foundation

Human Eye And Colorful World

Question

$\frac{4}{3}$

$\sqrt{2}$

1.5

$\sqrt{3}$

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By the help of the figure

$\sin^{- 1}, (\frac{nr}{nd}) = c$

$\Rightarrow \frac{nr}{nd} = \sin 45 °$ ,

$\Rightarrow \frac{1}{nd} = \frac{1}{\sqrt{2}}$ ,

∴ $nd = \sqrt{2}$ .

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