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Question

The pressure amplitude in a medium through which sound is travelling is 1.5×103 N/m2 and intensity is 106 W/m2. If the pressure amplitude is increased to 4.5×103 N/m2 by increasing the volume of sound then the intensity will be

A
6×106 W/m2
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B
7×106 W/m2
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C
8×106 W/m2
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D
9×106 W/m2
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Solution

The correct option is D 9×106 W/m2
We know that the intensity of sound is given by,
I=P2ov2B
where, Po is the maximum pressure in the medium, v is the speed of sound and B is the bulk modulus of the medium.
Medium of sound is same.
So, I1I2=P2o1P2o2
I2=I1P2o2P2o1
I2=106×(4.5×103)2(1.5×103)2
I2=9×106 W/m2

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