Find the lateral shift of a light ray while it passws through a parallel glass slab of thickness 10 cm places in air. The angle of incidence in air is `60^(@)` and the angle of refraction in glass is `45^(@)`.

Options

A. ` (10 ) /( sqrt 2 ) sin 45^@ `
B. ` 10 sqrt 2 sin 15^@ `
C. ` 10 `
D. None

Answer

B

Explanation

` d = (t sin (i-r) ) / ( cos r ) = ( 10 sin ( 60 ^@ - 45^@ ) ) / ( cos 45^@) `
` = ( 10 sin 15^@) /( cos 45^@) = 10 sqrt2 sin 15^@ `