First slide

Intensity of

Question

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

Moderate

A

$\sqrt{10}$
B

10
C

$10 \sqrt{2}$
D

$\sqrt{20}$

Solution

$I \propto P_{0}^{2}$
$\frac{I^{'}}{I} = \frac{P_{0}^{' 2}}{P_{0}} \Rightarrow P_{0}^{'} = P_{0} \sqrt{\frac{I^{'}}{I}}$
$\Rightarrow P_{0}^{'} = \sqrt{10} P_{0}$

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