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Question: In a sound wave, to increase the intensity by a factor of 10, pressure amplitude must be changed by ...

In a sound wave, to increase the intensity by a factor of 10, pressure amplitude must be changed by a factor of:

A

√10

B

10

C

10√2

D

√20

Answer

√10

Explanation

Solution

I α02

II=P02P02\frac{I'}{I} = \frac{P_{0}^{'2}}{P_{0}^{2}}

P0' = P II\sqrt{\frac{I'}{I}}

P0 ' = 10\sqrt{10} p