The displacemwent y of a wave travelling in the x - direction is given by 

y= 10^{-4}\sin \left ( 600t-2x+\frac{\pi }{3} \right )meter

where x is expressed in metre and t in second. The speed of the wave­-motion, in ms-1 is 

  • Option 1)

    300

  • Option 2)

    600

  • Option 3)

    1200

  • Option 4)

    200.

 

Answers (1)

As we learnt in

Wave Speed -

It is distance travelled by the wave in unit time.

- wherein

It is denoted by V

 

 

 

Given wave equation

y= 10^{-4}\sin \left ( 600t-2x+\frac{\pi }{3} \right )meter

Standard\: wave\: equation\: y=a\sin \left ( \omega t-kx+\phi \right )

Compare them

Angular speed = \omega = 600\: sec^{-1}

Propagation constan = k= 2\: m^{-1}

\frac{\omega }{k}= \frac{2\pi \upsilon }{2\pi/\lambda }= \upsilon \lambda = velocity

\therefore\: \: velocity\: = \frac{\omega }{k}= \frac{600}{2}= 300\: m/sec

Correct option is 1.

 

 


Option 1)

300

This is the correct option.

Option 2)

600

This is an incorrect option.

Option 3)

1200

This is an incorrect option.

Option 4)

200.

This is an incorrect option.

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