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A blast given a sound of intensity 0.8 W...

A blast given a sound of intensity `0.8 W//m^(2)` at frequency 1kHz. If the denstiy of air is 1.3 `kg//m^(3)` and speed of sound in air is 330 m/s, then the amplitude of the sound wave is approximately

Text Solution

Verified by Experts

The correct Answer is:
`9.656 xx 10^(-6)`

Sound intensity is given as
`I = 2pi^(2)n^(2)A^(2)Pv`
`0.8 = 2 xx 0 xx (1000)^(2) xx A^(2) xx 1.3 xx 330` `A^(2) = (0.8)/(2 xx 10^(7) xx 1.3 xx 330) = 93.24 xx 10^(-12)`
`A = 9.656 xx 10^(-6)m`
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