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Two coherent point source `S_(1)` and `S_(2)` vibrating in phase emit light of wavelength `lambda`. The separation between them is `2 lambda` as shown in figure. The first bright fringe is formed at 'P' due to interference on a screen placed at distance 'D' from `S_(1)(Dgtgtlambda)`, then OP is

1) `sqrt(3)D , 2) 1.5D , 3) sqrt(2)D , 4) 2D`

Text Solution

Verified by Experts

`Delta x= dcos theta = lambda, cos theta = (lambda)/(2lambda)= (1)/(2)`
`theta= 60^(@) tan 60= (x)/(D) x= sqrt(3)D`.
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