Asked in PMC Practice Test 27 (2021) 2021Moderate

Incase of harmonic oscillator total energy remains

Correct answer: C. Constant

  • A. Variable
  • B. Infinity
  • C. Constant
  • D. Zero

Explanation

Option C is correct since in an oscillation system, the energy can take various forms like potential, and kinetic but the total energy will remain conserved. In classical mechanics, a harmonic oscillator is a system that, when displaced from its equilibrium position, experiences a restoring force F proportional to the displacement x where k is a positive constant. Option A is incorrect since the total energy of an isolated system (in this case, the harmonic oscillator) is conserved. It is not variable. Option B is incorrect since energy is not infinite, it's finite. The harmonic oscillator may stop vibrating owing to damping. Option D is incorrect since energy cannot be zero, it has some value in the oscillator in the form of stored energy in the harmonic oscillator.

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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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