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  • Answer please! Which of the following equations represents a wave

Which of the following equations represents a wave 

  • Option 1)

    y = A(\omega t -kx)

  • Option 2)

    y = A\sin\omega t

  • Option 3)

    y =A\cos\omega t

  • Option 4)

    y = \sin(at -bx +c)

 

Answers (1)

best_answer

y = A sin (at - bx + c ) represents equation of simple harmonic progressive wave as it describes displacement of any particle (x) at any time (t) or it represents a wave because it satisfies wave equation \frac{\delta ^{2}y}{\delta t^{2}} = v^{2} \frac{\delta ^{2}y}{\delta x^{2}}

 

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

 

 

 


Option 1)

y = A(\omega t -kx)

This is incorrect.

Option 2)

y = A\sin\omega t

This is incorrect.

Option 3)

y =A\cos\omega t

This is incorrect.

Option 4)

y = \sin(at -bx +c)

This is correct.

Posted by

divya.saini

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