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A wave is represented by the equation: y = a\sin(0.01x-2t), where a and x are in cm. Velocity of propogation of wave is

  • Option 1)

    10 cm/s

  • Option 2)

    50 cm/s

  • Option 3)

    100 cm/s

  • Option 4)

    200 cm/s

 

Answers (1)

v = \frac{\omega }{k} = \frac{co-efficient of t}{co-efficient of x} = \frac{2}{0.01} = 200 cm/sec

 

Speed of sinusoidal wave -

Wave Speed

\tfrac{dx}{dt}= V=\frac{\omega }{k}
 

- wherein

\omega = 2\pi \nu

K= \frac{2\pi }{\lambda }

 

 

 


Option 1)

10 cm/s

This is incorrect.

Option 2)

50 cm/s

This is incorrect.

Option 3)

100 cm/s

This is incorrect.

Option 4)

200 cm/s

This is correct.

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