The energy of a simple harmonic oscillation depends upon the
Correct answer: D. Amplitude
- A. Frequency
- B. Time period
- C. Wavelength
- D. Amplitude
Explanation
This is the option marked correct in the official UHS answer key, and the total energy of a simple harmonic oscillator is proportional to the square of the amplitude, so doubling the amplitude quadruples the energy. Strictly the energy also depends on the square of the frequency, since the expression is half m omega squared A squared, but amplitude is the variable the question is pointing at. The energy stays constant through the cycle, merely exchanging between kinetic and potential forms.
This question appeared on the UHS MDCAT 2025 paper, which you can sit online with every answer explained.
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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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