The equation of a progressive wave is given by, y= 5 \sin p (\frac{t}{0.02}- \frac{x}{20})  m, then the frequency of the wave is

  • Option 1)

    100 Hz

  • Option 2)

    50 Hz

  • Option 3)

    25 Hz

  • Option 4)

    10 Hz

 

Answers (1)

As we learnt in 

Travelling Wave Equation -

y=A \sin \left ( Kx-\omega t \right )
 

- wherein

K=2\pi /\lambda

\omega = \frac{2\pi }{T}

\lambda =  wave length

T = Time period of oscillation

 

 y=5sin\pi\:.\:(\frac{t}{0.02}-\frac{x}{20})             [p should be \pi]

\omega=\frac{\pi}{0.02}=>f=\frac{\omega}{2\pi}=\frac{1}{0.04}=25\:Hz

 


Option 1)

100 Hz

This option is incorrect.

Option 2)

50 Hz

This option is incorrect.

Option 3)

25 Hz

This option is correct.

Option 4)

10 Hz

This option is incorrect.

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