Resonance Amplitude and Frequency – Rankers Physics

Energy in SHM: Practice Problem & Solution

Assertion (A): In resonance amplitude is infinity, in presence of dissipative forces. Reason (R): At resonance driving frequency is equal to natural frequency of the system.  
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution Explained:

To solve this problem, we apply the core principles of Energy in SHM. Understanding the underlying formula is key to arriving at the correct answer below:

Assertion (A) is false. In the presence of dissipative forces, the amplitude at resonance is finite, not infinite. Reason (R) is true. At resonance, the driving frequency matches the natural frequency of the system. Thus, (A) is false and (R) is true.

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