A wave $y = a\,\sin \,\left( {\omega t - kx} \right)$ on a string meets with another wave producing a node at $x = 0$. Then the equation of the unknown wave is

  • A

    $y = a\,\sin \,\left( {\omega t + kx} \right)$

  • B

    $y =  - a\,\sin \,\left( {\omega t + kx} \right)$

  • C

    $y = a\,\sin \,\left( {\omega t - kx} \right)$

  • D

    $y = - a\,\sin \,\left( {\omega t - kx} \right)$

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