NEET Physics Damped & Forced Oscillations MCQ Question
A damped harmonic oscillator has a damping force given by F_d = -bv. If the damping constant b is doubled while keeping mass m and initial amplitude A constant, what happens to the angular frequency ω' of the damped oscillator?
ω' remains approximately the same.
ω' doubles.
ω' decreases.
ω' increases.
Correct Answer
Detailed Explanation
According to the NCERT context, the angular frequency of the damped oscillator is given by ω' = sqrt(ω² - (b/2m)²). Doubling b increases the term (b/2m)², which decreases ω' since ω' is less than ω when damping is present.
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