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The intensity ratio of two waves is 9:1....

The intensity ratio of two waves is `9:1`. If they produce interference, the ratio of maximum to minimum intensity will be

A

`1:9`

B

`9:1`

C

`1:4`

D

`4:1`

Text Solution

Verified by Experts

`(I_(1))/(I_(2))=9/1`
`I_(max)/I_(min)=[(sqrt(I_(1)/I_(2))+1)/(sqrt(I_(1)/I_(2))-1)]^(2)`
`[sqrt(9+1)/(sqrt(9)-1)]^(2) rArr(I_(max))/(I_(min))=4^2/2^2=4/1`
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