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⚛️ Physics  ·  Oscillations  ·  NEET & JEE

In forced oscillations with damping, the steady state amplitude is maximum when:

Answer: Driving frequency approaches the natural frequency.

  • A Driving frequency approaches the natural frequency
  • B Damping is maximum
  • C Driving frequency is twice the natural frequency
  • D Damping coefficient is zero

Correct answer: A. Driving frequency approaches the natural frequency

Explanation: Maximum amplitude (resonance) occurs when driving frequency is close to the natural frequency. Higher damping reduces and broadens the resonance peak.

Displacement, Velocity, Acceleration in SHMx(t)v(t)a(t)v leads x by 90°; a is exactly out of phase with x (a = −ω²x)

In SHM, displacement and velocity are 90° out of phase (v is maximum when x=0, and zero when x is extreme), while acceleration is always exactly opposite in sign to displacement, consistent with a = −ω²x.

Concept context

Simple harmonic motion, spring-mass, pendulum, energy in SHM, and resonance.

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