A light source, which emits two wavelength `lamda_(1)=400nm` and `lamda_(2)=600nm`, is used in a Young's double slit experiment. If recorded fringe width for `lamda_(1)` and `lamda_(2)` are `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. Form the central maximum, `3^rd` maximum of `lamda_(2)` overlaps with `5^th` minimum of `lamda_(1)`
D. The angular separation of fringes for `lamda_(1)` is greater than `lamda_(2)`.

Answer

A, B, C

Explanation

We know that ``beta=(lamdaD)/(d)`
As `lamda_(2)gtlamda_(1)``:'``beta_(2)gtbeta_(1)` (a) is correct option.
Therefore`m_(1)gtm_(2)` `:'` (b) is correct option
As `3xx(lamda_(2)D)/(d)=((2xx5-1)lamda_(1))/(2)(D)/(d)`
`3xx600=4.5xx400` `:'` (c) is correct option
The angular width `=(lamda)/(d)` `:'` (d) is incorrect option