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Physics · PYQ NEET UG 2019(1)

हिन्दी

The displacement of a particle executing simple harmonic motion is given by \( y = A_0 + A\sin\omega t + B\cos\omega t \). Then the amplitude of its oscillation is given by:

  1. A
    \( \sqrt{A_0^2 + (A+B)^2} \)
  2. B
    A + B
  3. C
    \( A_0 + \sqrt{A^2 + B^2} \)
  4. D
    \( \sqrt{A^2 + B^2} \)

Correct answer · Option D

\( \sqrt{A^2 + B^2} \)

Explanation

The oscillatory part is \( A\sin\omega t + B\cos\omega t \), which can be written as \( R\sin(\omega t + \phi) \) where the amplitude is \( R = \sqrt{A^2 + B^2} \).
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