A ray of light travelling in a medium of refractive index `mu` is incident at an angle `theta` on a composite transparent plate consisting of 50 plates of `R.I 1.01 mu, 1.02 mu , 1.03 mu ……… , 1.50 mu` . The ray emerges from the composite plate into a medium of refractive index `1.6 mu` at angle 'x' . Then :

Options

A. sin x = `((1.01)/(1.5))^(50)"sin"theta`
B. sin x = `(5)/(8)"sin"theta`
C. sin x = `(8)/(5)"sin"theta`
D. sin x = `((1.5)/(1.01))^(50)"sin"theta`

Answer

B

Explanation

For composite transparent `II^(r)` slabes =`mu"sin"theta = "constant" mu"sin"theta = 1.6 mu "sin"x`
`"sin"x = 5//8 "sin"theta`.