In Young's double slit experiment, the intensity of light at a point on the screen where path difference is `lambda` is I. If intensity at another point is I/4, then possible path differences at this point are

Options

A. `lambda//2`, `lambda//3`
B. `lambda//3`, `lambda//2`
C. `lambda//3`, `lambda//4`
D. `2lambda//3`, `lambda//4`

Explanation

`I prop cos^(2)(phi//2)`
`rArr cos(phi//2)=+-(1)/(2)`
`rArr phi=(2pi)/(3)`, `(pi)/(3)`
`rArr Deltax=(lambda)/(3)`, `(lambda)/(6)`
A possible path difference `=2Deltax`