What effect occurs on amplitude and resonance of oscillations if damping is small?

Explanation

Damping refers to the dissipative forces that act on an oscillating system, causing it to lose energy and eventually come to rest. In the context of oscillations, damping can be categorized as either small or large. When damping is small, it means that the dissipative forces are relatively weak, allowing the oscillations to persist for a longer duration before coming to rest. In this case, the following effects occur: Greater amplitude: With small damping, the amplitude of the oscillations remains relatively large. This is because the dissipative forces are not strong enough to significantly reduce the energy of the system. As a result, the oscillations can reach a larger maximum displacement from the equilibrium position. Sharp resonance: Resonance is a phenomenon that occurs when the frequency of an external driving force matches the natural frequency of the oscillating system. In the case of small damping, the resonance is sharp. This means that the system responds strongly to the driving force at its natural frequency, resulting in a significant increase in amplitude. Hence, option A is the correct answer.