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Two coherent monochromatic beams of int...

Two coherent monochromatic beams of intensities I and 4 I respectively are superposed. The maximum and minimum intensities in the resulting pattern are

A

5I and 3I

B

9I and 3I

C

4I and I

D

9I and I

Text Solution

Verified by Experts

The correct Answer is:
D
`I_(max)=I_(1)+I_(2)2sqrt(I_(1)I_(2)) and I_("min")=I_(1)+I_(2)-2sqrt(I_(1)I_(2))`
Here, `I_(1)=I and I_(2)=4I`
`therefore I_(max)=I+4I+2sqrt((I)(4I))=5I+4I=9I`
and `I_("min")=I+4I-2sqrt((I)(4I))=5I-4I=I`
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