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NEET2019PhysicsOscillationsActual

The displacement of a particle executing simple harmonic motion is given by, y = A 0 + A s i n ω t + B c o s ω t . Then, the amplitude of its oscillation is given by

Options

  1. AA 0 + A 2 + B 2
  2. BA 2 + B 2
  3. CA 0 2 + A + B 2
  4. DA + B

Correct answer

B. A 2 + B 2

Step-by-step solution

y = A 0 + A sin ω t + B cos ω t = A 0 + A 2 + B 2 · A A 2 + B 2 sin ω t + B A 2 + B 2 cos ω t = A 0 + A 2 + B 2 sin ω t + φ Amplitude = A 2 + B 2

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