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The formula v = √(P/ρ) can be used for any gas considering isothermal process. True or False?(a) True(b) FalseThis question was posed to me in exam.This question is from Speed of a Travelling Wave in chapter Waves of Physics – Class 11

Answer» RIGHT option is (B) False

The best I can EXPLAIN: SPEED of longitudinal waves is v = √(B/ρ), where B is bulk modulus.

For an isothermal process PV=const.

On differentiating, we get: PdV + VdP = 0.

∴ P = -dP/(dV/V) = B.

∴ v = √(B/ρ) = √(P/ρ).

We have used the ideal gas equation, so this is only valid for an ideal gas.


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