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The ratio of the amplitudes of two waves is 3 : 4. What is the ratio of their loudness?

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Question

The ratio of the amplitudes of two waves is 3 : 4. What is the ratio of their loudness?

Numerical
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Solution

Let a1 and a2 be the amplitudes and I1 and I2 be the intensities of the two waves.

`:. I_1/I_2 = a_1^2/a_2^2 = 3^2/4^2`

`:. I_1/I_2 = 9/16`

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Chapter 7: Sound - EXERCISE [Page 174]

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Lakhmir Singh Physics [English] Class 10 ICSE
Chapter 7 Sound
EXERCISE | Q 17. (i) | Page 174
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