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Ratio of intensities of two waves is 25:4. Then the ratio of maximum and minimum intensity will be?

Ratio of intensities of two waves is 25:4. Then the ratio of maximum and minimum intensity will be?

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Grade:12th pass

2 Answers

Susmita
425 Points
5 years ago
Say a
Susmita
425 Points
5 years ago
Say amplitude of 1st wave and 2nd wave is a1 and a2 and their intensity is I1 and I2.
Intensity is proportional to square of amplitude.
So,
a12/a22=I1/I2=25/4
or,a1/a2=5/2
Resultant maximum intensity
Imax=(a1+a2)2
Resultant minimum intensity
Imin=(a1~a2)2
So 
Imax/Imin=(5+2)2/(5-2)2=49/9
please approve the answer if you are helped.

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