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TS EAMCET · Physics · Thermodynamics

A sound wave passing through an ideal gas at NTP produces a pressure change of 0.001 dyne \(/ \mathrm{cm}^2\) during adiabatic compression. The corresponding change in temperature \((\gamma=1.5\) for the gas and atmospheric pressure is \(1.013 \times 10^6\) dyne \(/ \mathrm{cm}^2\) ) is

  1. A \(8.97 \times 10^{-4} \mathrm{~K}\)
  2. B \(8.97 \times 10^{-6} \mathrm{~K}\)
  3. C \(8.97 \times 10^{-8} \mathrm{~K}\)
  4. D \(8.97 \times 10^{-9} \mathrm{~K}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(8.97 \times 10^{-8} \mathrm{~K}\)

Step-by-step Solution

Detailed explanation

\(T^\gamma p^{1-\gamma}=\) constant or \(T^\gamma=p^{\gamma-1}\)…
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