Question:

The potential energy of a simple harmonic oscillator, when the particle is half way to its end point is (where E E is the total energy)

Updated On: Jan 23, 2024
  • 14E \frac{1}{4}E
  • 12E \frac{1}{2}E
  • 23E \frac{2}{3}E
  • 18E \frac{1}{8}E
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The Correct Option is A

Solution and Explanation

Potential energy of a simple harmonic oscillator
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Concepts Used:

Energy In Simple Harmonic Motion

We can note there involves a continuous interchange of potential and kinetic energy in a simple harmonic motion. The system that performs simple harmonic motion is called the harmonic oscillator.

Case 1: When the potential energy is zero, and the kinetic energy is a maximum at the equilibrium point where maximum displacement takes place.

Case 2: When the potential energy is maximum, and the kinetic energy is zero, at a maximum displacement point from the equilibrium point.

Case 3: The motion of the oscillating body has different values of potential and kinetic energy at other points.