The minimum value of refractive index of the material of the prism for which the ray (1) under goes total internal reflection on the face AC is:

22

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2

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5

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\sqrt{2}

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Solution

The correct option is D $\sqrt{2}$
Using the formula of total angle Reflection
$∠ A = ∠ C = 45 ° ∠ i = 45 ° sin i = \frac{1}{n} n = \frac{1}{sin i} = \frac{1}{sin 45 °} n = \sqrt{2}$

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The minimum value of refractive index of the material of the prism for which the ray (1) under goes total internal reflection on the face AC is:

The correct option is D √2Using the formula of total angle Reflection∠A=∠C=45°∠i=45°sini=1nn=1sini=1sin45°n=√2

The correct option is D $\sqrt{2}$
Using the formula of total angle Reflection
$∠ A = ∠ C = 45 ° ∠ i = 45 ° sin i = \frac{1}{n} n = \frac{1}{sin i} = \frac{1}{sin 45 °} n = \sqrt{2}$