Question

As shown in figure, light is incident normally on one face of the prism. A liquid of refractive index `mu` is placed on the horizontal face AC. The refractive index of prism is `3//2` . If total internal reflection taken place on face AC, m should be less than `(Isqrt(3))/(94)`, where I is ann integer. Find the value of I.

Answer 1

Correct Answer - 3
Critical angle between glass and liquid.
`sintheta_(C)=(mu)/((3//2))=(2mu)/(3)`
Angle of incident on `AC=60^(@)`
For TIR, `I gt theta_(C)rArr (2)/(3)mu`
`mu lt (3sqrt(3))/(4)= (Isqrt(3))/(4)` (given) So, `I=3`