Q110 / 180 · AIIMS 2018 (26 May) · Physics

A particle is performing simple harmonic motion with angular frequency 5000 radian/second and amplitude $2 \mathrm{~cm}$ and mass of $1 \mathrm{~kg}$. Find the total energy of oscillation.

  • A
    $2 \mathrm{~kJ}$
  • Correct answer
    B
    $5 \mathrm{~kJ}$
  • C
    $7 \mathrm{~kJ}$
  • D
    $15 \mathrm{~kJ}$

Solution

Total energy in SHM, $\begin{aligned} E & =\frac{1}{2} m \omega^2 A^2 \\ & =\frac{1}{2} \times 1 \times 25 \times 10^6 \times 4 \times 10^{-4} \\ & =50 \times 10^2=5 \mathrm{~kJ}\end{aligned}$

Hence, the correct answer is option: 'B'.

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