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Two coherent monochromatic light beams o...

Two coherent monochromatic light beams of intensities 4/ and 9/ are superimosed the maxmum and minimum possible intenties in the resulting beam are

A

3I and 2I

B

9I and 5I

C

16I and 3I

D

25I and I

Text Solution

Verified by Experts

The correct Answer is:
a

Here `I_(1)=4I` and `I_(2)=9I`
`=4I+9I+2sqrt(4Ixx9I)`
`=13I+2xx6I=13I+12I rarr I_(max)=25I`
and `I_(min)=I_(1)+I_(2)-2sqrt(1_(1(I_(2)))-2sqrt(I_(1)I_(2)=4I+9)-2sqrt(4Ixx9I)`
`=13I-2xx6I=13I-12I rarr I_(min)=I`
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