Forced oscillation phase – Rankers Physics

Energy in SHM: Practice Problem & Solution

Assertion (A): Under forced oscillation external periodic force apply to sustain the motion. Reason (R): Under forced oscillation phase of harmonic motion of the particle differs from the phase of the driving force.  
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

Short Solution (Best for NEET):

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 true: Forced oscillations involve an external periodic force to maintain motion. Reason (R) is true: In forced oscillations, a phase difference exists between the driving force and the particle's motion. (R) describes a property of forced oscillations, but doesn't explain the reason for applying the external force as stated in (A).

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Similar Practice Questions

Explore conceptually related problems to test your knowledge.

1. Two particles are oscillating along two close parallel straight lines side by side, with the same frequency and amplitudes. They pass each other, moving in opposite directions when their displacement is half of the amplitude. The mean positions of the two particles lie on a straight line perpendicular to paths of the two particles. The phase difference is: (2011 Mains)
2. The distance covered by a particle undergoing SHM in one time period is (A = amplitude of oscillation)
3. The differential equation of motion of a particle executing SHM is \(\frac{d^2y}{dt^2} + Ky = 0\) where \(K\) is positive constant. The time period of the oscillation is given by
4. A body is vibrating with SHM of amplitude 15 cm and frequency 4 Hz. The maximum value of acceleration is
5. For the damped oscillator, if time taken for its amplitude of vibrations to drop to half of its initial value is \(T\) then time taken for amplitude to drop to one eighth amplitude is