Young.s experiment is performed with light of wavelength 6000 Å wherein 16 fringes occupy a certain region on the screen. If 24 fringes occupy the same region with another light, of wavelength `lambda`, then `lambda` is

Options

A. `3600 Å`
B. `4000 Å`
C. `5000 Å`
D. `4500 Å`

Answer

D

Explanation

`x=(mDlambda_(1))/(d)=((m+1)Dlambda_(2))/(d)`
`rArr3xx6000=4lambda_(2)`
or `lambda_(2)=(3xx6000)/(4)=4500 Å`