The refractive indices of the material of the prism and liquid are `1.56` and `1.32` respectively. What will be the value of `theta` for the following refraction?

Options

A. `sin thetale(13)/(11)`
B. `sin thetage(11)/(13)`
C. `sin thetage(sqrt(3))/(2)`
D. `sin thetage(1)/(sqrt(2))`

Answer

B

Explanation

For total internal reflectio from surface `BC`
`thetageCimplies sin thetagesin C`
`impliessin thetage ((1)/(._(l)mu_(g)))`
`implies sin thetage ((mu_(Liquid))/(mu_("Prism")))`
`sin thetage((1.32)/(1.56))impliessin thetage (11)/(13)`