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  • Tell me? A transverse wave given by y = 2 sin (0.01x + 30t) moves on a stretched string from one end to another end is 0.5 sec. if x and y are in cm and t is in sec, then the length of the string is

A transverse wave given by y = 2 sin (0.01x + 30t) moves on a stretched string from one end to another end is 0.5 sec. if x and y are in cm and t is in sec, then the length of the string is

  • Option 1)

    6 m

  • Option 2)

    9 m

  • Option 3)

    12 m

  • Option 4)

    15 m

 

Answers (1)

best_answer

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

 

 Speed of wave = \nu\lambda=\frac{\omega}{K}=\frac{30}{0.01}= 3000 \:cm/s

                                                             = 30 m/s

=> length of string = vt = 30 \times 0.5 m = 15m


Option 1)

6 m

This option is incorrect.

Option 2)

9 m

This option is incorrect.

Option 3)

12 m

This option is incorrect.

Option 4)

15 m

This option is correct.

Posted by

prateek

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