A sound wave passing through air at `NTP` produces a pressure of `0.001 dyne//cm^(2)` during a compression. The corresponding change in temperature (given `gamma = 1.5` and assume gas to be ideal) isA. `8.97 xx 10^(-4) K`B. `8.97 xx 10^(-6) K`C. `8.97 xx 10^(-8) K`D. None of these

A sound wave passing through air at `NTP` produces a pressure of `0.00

1.	A sound wave passing through air at `NTP` produces a pressure of `0.001 dyne//cm^(2)` during a compression. The corresponding change in temperature (given `gamma = 1.5` and assume gas to be ideal) isA. `8.97 xx 10^(-4) K`B. `8.97 xx 10^(-6) K`C. `8.97 xx 10^(-8) K`D. None of these
Answer» Correct Answer - C Differentiating `gammaT^(gamma-1) dT P_(1-gamma)+T^(gamma)(1-gamma)P^(-gamma)dP = 0` or `dT = ((gamma-1)T)/(gamma P) dP` `or dT = ((1.5-1)/(1.5))((273)/(76xx13.6xx981)xx0.001)` `=8.97xx10^(-8)K`.

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A sound wave passing through air at `NTP` produces a pressure of `0.001 dyne//cm^(2)` during a compression. The corresponding change in temperature (given `gamma = 1.5` and assume gas to be ideal) isA. `8.97 xx 10^(-4) K`B. `8.97 xx 10^(-6) K`C. `8.97 xx 10^(-8) K`D. None of these

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