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Due to point isotropic sound source, theintensity at a point is observed as 40 dB. The density of air is `rho=((15)/(11))(kg)/(m^3)` and velocity of sound in air is `330(m)/(s)`. Based on this information answer the following questions. Q. The pressure amplitude at the observation point isA. `3(N)/(m^2)`B. `3xx10^3(N)/(m^2)`C. `3xx10^-3(N)/(m^2)`D. `6xx10^-2(N)/(m^2)` |
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Answer» Correct Answer - C In the propagation of sound waves, let pressure amplitude be `trianglep_0` and displacement amplitude be `A`, then, `trianglep_0=BAK` where symbols have their usual meanings. We have `FL=10log((I)/(I_0))` `implies40=10log((I)/(10^(-12)))` `impliesI=10^-8(W)/(m^2)` `I=(trianglep_0^2)/(2rhov)` `impliestrianglep_0=sqrt(Ixx2rhov)` `=sqrt(10^-8xx2xx(15)/(11)xx330)(N)/(m^2)` `=3xx10^-3(N)/(m^2)` |
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