Damped Oscillation Parameters – Rankers Physics
Topic: Oscillation
Subtopic: Energy in SHM

Damped Oscillation Parameters

Assertion (A): The amplitude of damped oscillation depends on damping constants.
Reason (R): The angular frequency for a damped oscillation depends on damping constant only.
 
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:

Assertion (A) is true. The amplitude decay in damped oscillation is governed by a term involving the damping constant. Reason (R) is false. The angular frequency of a damped oscillation \(omega' = sqrt{omega_0^2 - gamma^2}\) depends on both the natural frequency \(omega_0\) and the damping constant \(gamma\), not solely on \(gamma\).

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