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`theta ge (13)/(11) `
B. `sin theta ge (11)/(13)`
C. `sin theta ge (sqrt(3))/(2)`
D. `sin theta ge (1)/(sqrt(2))`

Answer

B

Explanation

For TIR from surface BC
`theta ge i_(c )`
`rArr " " sin theta ge sin i_(c ) `
`rArr " " sin theta ge (1)/(n_(gi))`
`rArr " " sin theta ge (n_(l))/(n_(g))`
`rArr sin theta ge ((1.32)/(1.56)) rArr sin theta ge (11)/(13)`.