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I need help with - Oscillations and Waves - JEE Main-3

Calculate speed of longitudinal wave in the helium gas of bulk modulus 1.7\times 10^{5} Pa and density is 0.18 kg/mat 0\degree C and 1 atm pressure.

  • Option 1)

    314 m/s

  • Option 2)

    413 m/s

  • Option 3)

    972 m/s

  • Option 4)

    600 m/s

 
Answers (1)
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V_{He} = \sqrt{\frac{B}{\rho}} = \sqrt{\frac{1.7 X 10^{5}}{0.18}} = 972 m/s

 

Speed of sound wave -

v= \sqrt{\frac{B}{\rho }}

- wherein

B is bulk modulus that represent elastic property of medium

\rho = density of medium that represent inertial property of medium.

 

 

 


Option 1)

314 m/s

This is incorrect.

Option 2)

413 m/s

This is incorrect.

Option 3)

972 m/s

This is correct.

Option 4)

600 m/s

This is incorrect.

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