Two waves represented by, $y_1 = 10\,sin\, 200\pi t$ , ${y_2} = 20\,\sin \,\left( {2000\pi t + \frac{\pi }{2}} \right)$ are superimposed at any point at a particular instant. The amplitude of the resultant wave is

  • A

    $200$

  • B

    $30$

  • C

    $10\sqrt 5$

  • D

    $10\sqrt 3$

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