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Q.

A sound wave passing through an ideal gas at NTP produces a pressure change of 0.001dyne/cm2 during adiabatic compression. The corresponding change in temperture (γ=1.5 for the gas and atmospheric pressure is 1.013×106dynes/cm2 ) is

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a

8.97×10−4K

b

8.97×10−6K

c

8.97×10−8K

d

8.97×10−9K

answer is C.

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Detailed Solution

Tγp1−γ= ConstTγpγ−1T=(p)γ−1γΔTT=γ−1γ×Δpp ΔT=γ−1γ×ΔppT=1.5−11.5×0.0012731.013×106=8.97×10-8K

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