NEET Physics Question - Oscillation

Assertion (A): We can assume damped oscillation to be approximately periodic motion for small damping

Reason (R): Small damping means \( \frac{b}{\sqrt{km}} \ll 1 \)

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: For small damping, the amplitude decays slowly, and the frequency is nearly constant, making the motion approximately periodic. Reason (R) is true: Small damping is characterized by a small damping factor \(b\) relative to \(\sqrt{km}\), specifically \( \frac{b}{\sqrt{km}} \ll 1\) (or \( \zeta ll 1\)). This condition directly ensures the motion is approximately periodic.

Rankers Physics

Damped oscillation condition

Solution:

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