A ray of light, travelling in a medium of refractive index mu, is incident at an angle i on a composite transparent plate consisting of three plates of refractive indices `mu_1,mu_2 and mu_3.` The ray emerges from the composite plate into a medium of refractive index `mu_4,` at angle x. Then,

Options

A. sin x = sin i
B. sin x `= (mu)/(mu_(4))` sin i
C. sin x = `(mu_(4))/(mu)` sin i
D. sin x = `(mu_(1))/(mu_(2))(mu_(3))/(mu_(2))(mu)/(mu_(4))` sin i

Explanation

From Snell's law,
`mu sin i` = constant
`mu_(4)sinx=musini`
`therefore sinx=(mu)/(mu_(4))sini`