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Concepts Of Physics MCQ Edition [Volume 1]PhysicsSimple Harmonic Motion

A particle travels along the X-axis described by the equation x = A + B t . The motion is simple harmonic with an amplitude of

Options

  1. AA^2 + B^2
  2. BA + B
  3. CB
  4. DA

Correct answer

C. B

Step-by-step solution

The given equation of motion is x = A + B t . Rearranging the terms, we get x - A = B t . This equation represents a simple harmonic motion about the mean position x = A . The amplitude of the motion is the maximum displacement from the mean position. Since the maximum value of t is 1 , the maximum displacement from the mean position is B . Therefore, the amplitude of the simple harmonic motion is B .

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