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Two coherent monochromatic light beam of...

Two coherent monochromatic light beam of intensitites `I` and`4I` are superposed.The maximum and minimum possible intensities in the resulting beam, is

A

`5Iand I`

B

`5I and3I`

C

`9I and I`

D

`9I and 3I`

Text Solution

Verified by Experts

The correct Answer is:
C

`I_(r)=I_(1)+I_(2)+2sqrt(I_(1)I_(2))cosphi,`
`I_(max)=(sqrt(I_(1))+sqrt(I_(2)))^(2)rArr(sqrt(I_(1))+sqrt(4I))^(2)=9I`
`I_(min)=(sqrt(I_(1))-sqrt(I_(2)))^(2) rArr (sqrt(I_(1))+sqrt(4I))^(2) rArr I_(min)=I`
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