NEET Physics Damped & Forced Oscillations Match the Following Question
Match Column-I with Column-II.
| Column-I | Column-II |
|---|---|
| (a) Damping force | (i) F = –bv |
| (b) Equation of motion | (ii) x(t) = A e –bt/2m cos(ω′t + φ) |
| (c) Angular frequency | (iii) ω′ ≈ ω |
| (d) Energy loss | (iv) Mechanical energy decreases |
a-i, b-ii, c-iii, d-iv
a-ii, b-i, c-iv, d-iii
a-iii, b-iv, c-ii, d-i
a-iv, b-iii, c-i, d-ii
Correct Answer
Detailed Explanation
The damping force in a damped oscillator is represented by F = –bv, and the equation of motion is given by x(t) = A e –bt/2m cos(ω′t + φ). When the damping is small, the angular frequency approximately equals the natural frequency (ω′ ≈ ω), and energy loss occurs as mechanical energy decreases during oscillations due to damping.
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