Two waves represented by, y₁ = 10,sin, 200π t , {y₂} = 20,sin ,left( {2000π t + frac{π

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14.Waves and Sound

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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

$10\sqrt 3$

Solution

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

$= 10\sqrt 5$

Standard 11

Physics

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