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Two monochromatic coherent light beams A...

Two monochromatic coherent light beams A and B have intensities L and `(L)/(4)` respectively.If these beams are superposed the maximum and minimum intensities will be

A

`(9L)/(4),(L)/(4)`

B

`(5L)/(4),0`

C

`(5L)/(2),0`

D

`2L,(L)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
The maximum intensity will be given by
`I_(max)=(sqrt(L)+sqrt((L)/(4)))^(2)=L+(L)/(4)+2xx(L)/(2)=(9L)/(2)`
`I_("min")=(sqrt(L)-sqrt((L)/(4)))^(2)=L+(L)/(4)-L=(L)/(4)`.
`therefore` The maximum and minimum intensities will be `(9L)/(4)and (L)/(4)`.
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