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ICSE Class 9 Physics Question 2 of 19

Propagation of Sound Waves — Question 16

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Question

Question 16

The speed of sound in a gas is given by :

  1. V = Pγρ\sqrt\dfrac{\text P}{\text {γρ}}

  2. V = γPρ\sqrt\dfrac{\text {γP}}{\text ρ}

  3. V = γρP\sqrt{\dfrac{\gamma \text ρ}{\text P}}

  4. V = γρP\sqrt{\text {γρP}}

Answer

V = γPρ\sqrt\dfrac{\text {γP}}{\text 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{\text {γP}}{\textρ}