The sharpness of resonance is__________________?
Correct answer: B. Inversely proportional to the damping force
- A. Directly proportional to the damping force
- B. Inversely proportional to the damping force
- C. Equal to the square of damping force
- D. Equal to the square of damping force
Explanation
Resonance becomes sharper when damping is smaller because less energy is lost per cycle, so the oscillator responds strongly over a narrower frequency range. Therefore sharpness is inversely proportional to damping force. A common mistake is choosing a, assuming greater damping makes the resonance peak sharper, whereas it actually broadens and lowers the peak.
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About Simple Harmonic Motion
Simple harmonic motion is oscillation in which acceleration is directly proportional to displacement and directed toward the equilibrium position. Work includes displacement, velocity, acceleration, phase, period, frequency, amplitude and energy, with applications to springs and simple pendulums. The restoring force and the conditions for SHM distinguish it from general periodic motion.
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