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Physics

The speed of sound in a gas is given by :

  1. V = Pγρ\sqrt\dfrac{P}{\gamma ρ}

  2. V = γPρ\sqrt\dfrac{\gamma P}{ρ}

  3. V = γρP\sqrt\dfrac{\gamma ρ}{P}

  4. V = γρP\sqrt{\gamma ρP}

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Answer

V = γPρ\sqrt\dfrac{\gamma P}{ρ}

Reason — According to Laplace, when sound travels in a gas, during the formation of compression and rarefaction, there is no exchange of heat in the medium i.e., the propagation of sound is an adiabatic change.

Hence, the speed of sound in a gas is given by γPρ\sqrt\dfrac{\gamma P}{ρ}

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