Optics Question 825

A triangular prism of glass is inside water. A ray, incident normally, on one of the faces, is totally reflected from face AB. Then the minimum refractive index of glass is -

Options:

A) $ \frac{\sqrt{3}}{2} $

B) $ \frac{5}{3} $

C) $ \frac{2\sqrt{2}}{5} $

D) $ \frac{4\sqrt{2}}{3} $

Show Answer

Answer:

Correct Answer: D

Solution:

For T.I.R. $ 45{}^\circ <C $

$ \therefore \sin 45{}^\circ > \sin C $

$ \therefore \frac{1}{\sqrt{2}}>\frac{4/3}{n} $

$ \therefore n>\frac{4\sqrt{2}}{3} $



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