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Physics-Damped & Forced Oscillations

NEET Physics Damped & Forced Oscillations MCQ Question

Type: MCQ-diagram based-Hard-Class 11

Consider a damped oscillator where the damping force is proportional to the velocity of the oscillator. If the damping force is represented as F_d = -bv, which of the following expressions correctly represents the displacement of the damped oscillator over time?

Question diagram
A

x(t) = A e^(-bt/2m) cos(ω't + φ)

B

x(t) = A cos(ωt + φ) e^(bt/2m)

C

x(t) = A sin(ω't + φ) e^(-bt/2)

D

x(t) = A e^(-bt) sin(ω't + φ)

Correct Answer

Option A

Detailed Explanation

The displacement of a damped oscillator with a damping force proportional to velocity is given by x(t) = A e^(-bt/2m) cos(ω't + φ). This is derived from the damping force F_d = -bv, as explained in the NCERT context.

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