NEET Physics Question - Oscillation

Assertion (A): In a SHM, kinetic and potential energies become equal when the displacement is \(\frac{1}{\sqrt{2}}\) times the amplitude.

Reason (R): In SHM, kinetic energy is zero when potential energy is maximum.

Both (A) and (R) are true and (R) is the correct explanation of (A)

Both (A) and (R) are true but (R) is not the correct explanation of (A)

Both (A) and (R) are true

(A) is true and (R) is false

Solution:

Equating \(KE = \frac{1}{2}k(A^2 - x^2)\) and \(PE = \frac{1}{2}kx^2\) gives \(x = \frac{A}{\sqrt{2}}\). Maximum PE occurs at extremes where KE is zero. Both statements are true, but (R) does not explain (A).

Rankers Physics

Assertion and Reason on SHM Energies

Solution:

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