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Two coherent monochromatic light beams o...

Two coherent monochromatic light beams of amplitude 3 and 5 units are superposed . The maximum and minimum possible intensities in the resulting beams are in the ratio

A

`4:2`

B

`16:1`

C

`8:2`

D

`4:2`

Text Solution

Verified by Experts

The correct Answer is:
B
It is given that the amplitudes `A_(1)` and `A_(2)` are in the ratio `(A_(1))/(A_(2))=3/5`
`therefore ` After superposition the maximum and minimum intensities will be in the ratio
`(I_("max"))/(I_("min"))=((A_(1)+A_(2))^(2))/((A_(2)+A_(2))^(2))=((3+5)^(2))/((3-5)^(2))=(8^(2))/((-2)^(2))=(64)/(4)=(16)/(1)`
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Knowledge Check

  • Two coherent monochromatic light beams of intensities I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are

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