A light source, which emits two wavelengths `lambda_(1)=400 nm` and `lambda(2)=600 nm,` is used in a Young's double slit experiment. If recorded fringe widths for `lambda_(1)` and `lambda_(2)` and `beta_(1)` and `beta_(2)` and the number of fringes for them within a distance `y` on one side of the central maximum are `m_(1)` and `m_(2),` respectively, then

Options

A. `beta_(2)gtbeta_(1)`
B. `m_(1)gtm_(2)`
C. From the central maximum, `3^(rd)` maximum of `lamda_(2)` overlaps with `5^(th)` minimum of `lamda_(1)`
D. The angular separation of fringes of `lamda_(1)` is greater than `lamda_(2)`

Answer

A, B, C

Explanation

`beta=(lamdaD)?(d),lamda_(1)ltlamda_(2),beta_(2)gtbeta_(1)`
`m_(1)beta_(1)=m_(2)beta_(2)=yimpliesm_(1)gtm_(2)`
`{:(y_(1)=3(lamda_(2)D)/(d)),(y_(2)=4.5(lamda_(1)D)/(d)):}]" here "y_(1)=y_(2)`
`theta=(beta)/(D)=(lamda)/(d)`
Hence A ,B & C are correct choices.