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Simple Harmonic Motion — Physics STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 SciencePhysicsSimple Harmonic Motion1 Mark
Question
In a simple harmonic motion:
  1. The maximum potential energy equals the maximum kinetic energy.
  2. The minimum potential energy equals the minimum kinetic energy.
  3. The minimum potential energy equals the maximum kinetic energy.
  4. The maximum potential energy equals the minimum kinetic energy.
✓

Answer

  1. The maximum potential energy equals the maximum kinetic energy.
  2. The minimum potential energy equals the minimum kinetic energy.

Explanation:

In SHM,

maximum kinetic energy $=\frac{1}{2}\text{kA}^2$

maximum potential energy $=\frac{1}{2}\text{kA}^2$

The minimum value of both kinetic and potential energy is zero. 

Therefore, in a simple harmonic motion the maximum kinetic energy and maximum potential energy are equal. Also, the minimum kinetic energy and the minimum potential energy are equal.

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