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A point like sound source emits sound in all direction uniformly. An observer who is at a distance of 50 m from the source detects sound of intensity $10^{- 2} w a t t / m^{2} .$ If the bulk modulus of air is $1.6 \times 10^{5} N / m^{2}$ and velocity of sound is 340 m/s. Find pressure amplitude $(i n N / m ²)$ at the position of observer in nearest integer.

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answer is 3.

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Detailed Solution

$I = \frac{P_{0}^{2} V}{2 B}$

$10^{- 2} = \frac{P_{0}^{2} \times 340}{2 \times 1.6 \times 10^{5}}$

$P_{0} = \sqrt{\frac{320}{34}} = \sqrt{\frac{160}{17}}$

$P_{0} = 3$

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