The Young's double slit experiment is performed with blue and with green light of wavelengths `4360 A` and `5460 A` respectively. If `X` is the distance of `4th` maximum from the central one, then :

Options

A. `X_(("blue"))=X_(("green"))`
B. `X_(("blue"))gt X_(("green"))`
C. `X_(("blue"))lt X_(("green"))`
D. `X_(("blue"))// X_(("green"))=5400//4360`

Answer

C

Explanation

Distance of nth maxima, `x=n lambda (D)/(d) prop lambda`
`rArr lambda_(b) lt lambda_(g)`
`therefore x_("blue") lt x_("green")`