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An object of mass 1 kg executes simple harmonic oscillations along the x -axis, with a frequency of 2 π H z . At the position x = 1 m , the object has a kinetic energy of 24 J . The amplitude of the oscillation is

Options

  1. A3 2   m
  2. B2 m
  3. C4 m
  4. D8 m

Correct answer

B. 2 m

Step-by-step solution

K . E . = 1 2 m ω 2 A 2 - x 2 = 24 J 1 2 × 1 × 16 A 2 - 1 = 24 A = 2 m

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