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  4. Ratio of intensities of two waves is 9: 1. If these two are superimposed, what is the ratio of maximum and minimum intensities?

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Q. Ratio of intensities of two waves is $9 : 1$. If these two are superimposed, what is the ratio of maximum and minimum intensities?

AIIMSAIIMS 2000Waves

Solution:

Ratio of the intensities $=9: 1$
$\therefore $ Ratio of the amplitudes $=3: 1$
On superposition,
$\frac{\text { Maximum Intensity }}{\text { Minimum Intensity }}=\frac{(3+1)^{2}}{(3-1)^{2}}=4: 1$.