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In Young's double slit experiment, the i...

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

A

`lambda//2`, `lambda//3`

B

`lambda//3`, `lambda//2`

C

`lambda//3`, `lambda//4`

D

`2lambda//3`, `lambda//4`

Text Solution

Verified by Experts

`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`
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