If the frequency of the driving force is near the natural frequency of the system, then what will occur?

  1. Forced oscillation
  2. Resonance
  3. Damped oscillation
  4. Simple harmonic motion

Answer (Detailed Solution Below)

Option 2 : Resonance
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Detailed Solution

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CONCEPT:

  • Resonance occurs when the frequency of the driving force is near or equal to the natural frequency of the system.
  • The forced oscillation occurs when the driving force acts as an oscillator.
  • The damped oscillation occurs when the amplitude of the motion decreases more rapidly.
  • Simple harmonic motion occurs when the restoring force is directly proportional to the displacement from equilibrium.
    • F α -x

Where F = force and x = the displacement from equilibrium.

  • Negative sign shows the direction of force is opposite of the direction of displacement.

EXPLANATION:

  • In the question, it is given that the frequency of the driving force is near the natural frequency of the system.
  • This happens when there is Resonance.
  • So the correct answer is option 2.
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