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WBJEE · Physics · Oscillations

In case of a simple harmonic motion, if the velocity is plotted along the \(X\) -axis and the displacement (from the equilibrium position) is plotted along the \(Y\) -axis, the resultant curve happens to be an ellipse with the ratio:
major axis (along X) \(=20 \pi\) minor axis (along \(Y)\)
What is the frequency of the simple harmonic motion?

  1. A \(100 \mathrm{Hz}\)
  2. B \(20 \mathrm{Hz}\)
  3. C \(10 \mathrm{Hz}\)
  4. D \(\frac{1}{10} \mathrm{Hz}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(10 \mathrm{Hz}\)

Step-by-step Solution

Detailed explanation

In representation of simple harmonic motion in ellipse as velocity along \(X\) -axis and displacement along \(Y\) -axis. \(\frac{\text { Major axis (along } X \text { -axis) }}{\text { Minor axis (along } X \text { -axis) }}=20 \pi\)…