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

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$R = \sqrt {{{10}^2} + {{20}^2} + 20 \times 10 \times 20 \times cos\pi /2} $

$ = 10\sqrt 5 $

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