The Young's double slit experiment is performed with blue light and green light of wavelength `4360 Å` and `5460 Å` respectively. If y is the distance of `4th` maxima 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=(4lambdaD)/d`
as `lambda_("Green") gt lambda_("Blue")`
`rArr beta_("Green") gt beta_("blue")`
`rArr X_("Green") gt X_("blue")`
Also get `(X("blue"))/(X("green"))=4360/5460`