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Physics-Damped & Forced Oscillations

NEET Physics Damped & Forced Oscillations MCQ Question

Type: MCQ-numerical-Easy-Class 11

In a damped oscillator, the displacement of the oscillator is given by x(t) = A e^(-bt/2m) cos(ω't + φ). If the mass of the oscillator is doubled, how does the angular frequency ω' change, assuming the damping constant b remains the same?

A

ω' decreases, since ω' = sqrt(ω^2 - (b/2m)^2)

B

ω' increases, since ω' = sqrt(ω^2 + (b/2m)^2)

C

ω' remains unchanged, as mass does not affect ω'

D

ω' becomes undefined due to division by zero

Correct Answer

Option A

Detailed Explanation

The angular frequency ω' of a damped oscillator is given by ω' = sqrt(ω^2 - (b/2m)^2). Doubling the mass m increases the value of (b/2m)^2, thus decreasing ω'.

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