NEET Physics Damped & Forced Oscillations MCQ Question
A damped oscillator has a mass of 2 kg and is subject to a damping force F_d = -0.5v, where v is the velocity. If the initial amplitude A is 5 cm, what will be the amplitude after 4 seconds, assuming the damping is small?
3 cm
8 cm
5 cm
0 cm
Correct Answer
Detailed Explanation
The displacement of a damped oscillator is given by x(t) = A e^(-bt/2m). Here, A = 5 cm, b = 0.5, m = 2 kg, and t = 4 s. Calculating gives x(4) = 5 * e^(-0.5*4/4) = 4.3 cm.
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