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If Ratio of maximum to minimum resultant intensities of two intensities wave travelling in same direction is 9 : 4 then find ratio of individval intensities.

Text Solution

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`(I_(max))/(I_(min)) = ((sqrt(I_(1)) + sqrt(I_(2)))/(sqrt(I^(1)) - sqrt(I^(2))))^(2) = (9)/(4)`
` (sqrt(I_(1))+sqrt(I_(2)))/(sqrt(I_(1)) - sqrt(I_(2)) ) = (3)/(2)`
`rArr (sqrtI_(1))/(sqrt(I_(2)) ) = (3 + 2)/(3 -2)`
`rArr (I_(1))/(I_(2)) = 25:1`
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