Damped Oscillations

Real oscillators lose energy to resistive forces, a phenomenon called damping, in which a velocity-dependent force such as $F=-bv$ steadily removes mechanical energy and shrinks the amplitude. The rate of this decay grows with the damping coefficient, so stronger shock absorbers bring the chassis back to rest in fewer cycles. A well-designed car suspension uses shock absorbers to provide exactly this damping so the chassis returns to equilibrium quickly rather than oscillating many times. The option about increasing the natural frequency is wrong because changing frequency alone does not remove energy; an undamped system would keep bouncing at any frequency. The option about amplifying the restoring force is incorrect since a stronger spring would actually make the bouncing more vigorous, not calmer. The option about resonance is the opposite of what is wanted, because matching bump frequency to the natural frequency would dangerously magnify the motion. This reflects the NCERT treatment of damped harmonic motion where amplitude decays as $A{e}^{-bt/2m}$. As a plausibility check, energy must go somewhere for the bouncing to stop, and only a dissipative damping mechanism converts that mechanical energy into heat, confirming damping as the governing feature.