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The superposing waves are represented by...

The superposing waves are represented by the following equations :
`y_(1) 5 sin 2 pi (10 t-0.1 x ), y_(2)=10 sin 2 pi (20t -0.2 x)` Ratio of intensities `(I_("max"))/(I_("min")) ` will be

A

1

B

4

C

9

D

16

Text Solution

Verified by Experts

The correct Answer is:
C
`A_(1) = 5, A_(1) = 10`
`(I_("max"))/(I_("min")) = ((A_(1) + A_(2))^(2))/((A_(1) - A_(2))^(2)) = ((5 + 10)^(2))/((5 - 10)^(2)) = (9)/(1)`
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