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  • I have a doubt, kindly clarify. - Oscillations and Waves - JEE Main-7

The equation of the wave travelling on a string is y = 4\sin\frac{\pi}{2}(8t - \frac{x}{8}). If x and y are in cm, then velocity of the wave is

  • Option 1)

    64 cm/sec in -x direction

  • Option 2)

    32 cm/sec in -x direction

  • Option 3)

    32 cm/sec in +x direction

  • Option 4)

    64 cm/sec in +x direction

 

Answers (1)

best_answer

The given equation can be written as 

y = 4\sin(4\pi + \frac{-\pi x}{16}) \Rightarrow (v) = \frac{co-efficient \;of\;t (\omega)}{co-efficient \;of\;x (k)}

\Rightarrow v = \frac{4\pi}{\frac{\pi}{16}} = 64 cm/sec along +x direction

 

Progressive wave -

Progressive wave motion is defined as a form of disturbance transferred from one point to another involving transfer of energy but no transfer of matter.

- wherein

Mechanical wave require a medium while EM wave can travel in vacuum.

 

 

 


Option 1)

64 cm/sec in -x direction

This is incorrect.

Option 2)

32 cm/sec in -x direction

This is incorrect.

Option 3)

32 cm/sec in +x direction

This is incorrect.

Option 4)

64 cm/sec in +x direction

This is correct.

Posted by

Avinash

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