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AP EAMCET · PHYSICS · Oscillations

An object of mass \(3 \mathrm{~kg}\) is executing simple harmonic motion with an amplitude \(\frac{2}{\pi} \mathrm{m}\). If the kinetic energy of the object when it crosses the mean position is \(6 \mathrm{~J}\), the time period of oscillation of the object is

  1. A \(1 \mathrm{~s}\)
  2. B \(2 \mathrm{~s}\)
  3. C \(3 \mathrm{~s}\)
  4. D \(4 \mathrm{~s}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(2 \mathrm{~s}\)

Step-by-step Solution

Detailed explanation

Mass of object, \(\mathrm{m}=3 \mathrm{~kg}\) Amplitude, \(A=\frac{2}{\pi} \mathrm{m}\) Kinetic energy \(=6 \mathrm{~J}\) Kinetic energy \(=\frac{1}{2} m \omega^2 A^2=6\)…