Damped Oscillation Periodicity – Rankers Physics

Energy in SHM: Practice Problem & Solution

Assertion (A): In damped oscillation, the motion is periodic. Reason (R): In damped oscillation, the amplitude decreases due to dissipative forces.  
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution Explained:

To solve this problem, we apply the core principles of Energy in SHM. Understanding the underlying formula is key to arriving at the correct answer below:

Assertion (A) is false. Damped oscillation is not strictly periodic because its amplitude continuously decreases with time. Reason (R) is true. The amplitude in damped oscillations decreases due to the energy loss caused by dissipative forces. Thus, (A) is false and (R) is true.

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