A certain simple harmonic vibrator of mass 0.1 kg has a total energy of 10 J. Its…

Physics · JEE Advanced · NTA ExamsOscillations and Waves

A certain simple harmonic vibrator of mass 0.1 kg has a total energy of 10 J. Its displacement from the mean position is 1cm when it has equal kinetic and potential energies. The amplitude A and frequency f of vibration of the vibrator are
  1. \(\mathrm{A}=\sqrt{2} \mathrm{~cm}, \mathrm{f}=\frac{500}{\pi} \mathrm{~Hz}\)
  2. \(A=\sqrt{2} \mathrm{~cm}, f=\frac{1000}{\pi} \mathrm{~Hz}\)
  3. \(A=\frac{1}{\sqrt{2}} \mathrm{~cm}, f=\frac{500}{\pi} \mathrm{~Hz}\)
  4. \(A=\frac{1}{\sqrt{2}} \mathrm{~cm}, f=\frac{1000}{\pi} \mathrm{~Hz}\)

Answer

(A) A = 2 ~cm , f = 500 ~Hz

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