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Equation of sound wave in air is given by \Delta P = 0.02\sin[300t - (9.0)x]. Find the speed of sound in air.

  • Option 1)

    \frac{2\pi}{3000}\; m/s

  • Option 2)

    1000 m/s

  • Option 3)

    \frac{1000}{3}\; m/s

  • Option 4)

    300 m/s

 

Answers (1)

best_answer

From comparison

\Delta p = \Delta p_{max} sin \left [ \omega \left ( t - \frac{x}{v} \right ) \right ]

\omega = 3000

\gamma = \frac{\omega }{x} = \frac{3000}{9} = \frac{1000}{3} m/s

 

Pressure Waves -

\Delta P= -\Delta P_{max}\cdot \cos \left ( Kx-\omega t \right )
 

- wherein

\Delta P_{max} = Maximum variation in pressure

 

 

 


Option 1)

\frac{2\pi}{3000}\; m/s

This is incorrect.

Option 2)

1000 m/s

This is incorrect.

Option 3)

\frac{1000}{3}\; m/s

This is correct.

Option 4)

300 m/s

This is incorrect.

Posted by

divya.saini

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