A drop of liquid is spread over the hypotenuse of a right angled isosceles prism as shown in Fig. and a ray of light is incident normally on face `AB` of the prism. If refractive index of liquid is `sqrt(2)`, then for total internal reflection to occur, refractive index of material prism should be :

Answer

2

Explanation

As is clear from Fig.
for `TIR, C = i = 45^@`
From `(mu_2)/(mu_1) = (1)/(sin C) = (1)/(sin 45^@) = sqrt(2)`
`mu_2 = sqrt(2) mu_1 = sqrt(2) xx sqrt(2) = 2`.