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Two coherent point sources S1 and S2, vi...

Two coherent point sources `S_1 and S_2`, vibrating in phase emit light of wavelength X. The separation between the sources is `2lamda`. Consider a line passing through `S_2` and perpendicular to the line S, What is the smallest distance from `S_2` where a minimum of intensity occurs ?

A

`(7 lambda)/(12)`

B

`(15 lambda)/(4)`

C

`(lambda)/(2)`

D

`(3 lambda)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Path difference at `S_(2)` us `2lambda`. Therrefore for minimum intensity at P.
`S_(1)P - s_(2)P = (3 lambda)/(2)` …..(i)
or `sqrt(4 lambda^(2) + x^(2)) - x = (3 lambda)/(2)`
Solving equation, `x = (7 lambda)/(12)`
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