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MHT CET2007PhysicsWaves and Sound

The displacement equation of a simple harmonic oscillator is given by y=A t-B t The amplitude of the oscillator will be

Options

  1. AA-B
  2. BA+B
  3. CA²+B²
  4. D(A²+B² )

Correct answer

C. A²+B²

Step-by-step solution

Displacement equation y=A t-B t Let A=a and B=a So, A²+B²=a² a= A²+B² Then, y=a t-a t y=a ( t- ) which is the equation of simple harmonic oscillator. The amplitude of the oscillator =a= A²+B²

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