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)") = (5460)/(4360)`

Answer

C

Explanation

Fourth maxima will be at y `= 4 beta`
`rArr y = (4 lambda D)/(d)`
as `lambda_("Green") gt lambda_("bkue")`
`rArr beta_("Green") gt beta_("blue")`
`rArr X_("Green") gt X_("blue")`
Also get `("(X(blue)")/("X(Green)") =(4360)/(5460)`