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AP EAMCET · PHYSICS · Oscillations

Assertion (A) In S.H.M kinetic and potential energy become equal when the distance is \(1 / \sqrt{2}\) times its amplitude. Reason (R) The potential energy of a particle executing S.H.M is periodic with time period being maximum at the extreme displacement.

  1. A \(A\) and \(R\) are true. \(R\) is correct explanation of \(A\).
  2. B \(A\) and \(R\) are true. \(R\) is not correct explanation of \(A\).
  3. C \(A\) is true, but \(R\) is false
  4. D \(A\) is false but \(R\) is true
Verified Solution

Answer & Solution

Correct Answer

(A) \(A\) and \(R\) are true. \(R\) is correct explanation of \(A\).

Step-by-step Solution

Detailed explanation

( In SHM, K. E of oscillator \(=\frac{1}{2} m \omega^2\left(a^2-y^2\right)\) P. E of oscillator \(=\frac{1}{2} m \omega^2 y^2\) (Here, \(a=\) amplitude and \(y=\) displacement) when, \(\mathrm{K} . \mathrm{E}=\mathrm{P} . \mathrm{E}\)…
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