Moderate

Simple Harmonic Motion of a body is described by which statements mentioned below:K: K.E is maximum when displacement x = 0L: P.E is maximum when x = 0M: P.E is maximum when x = ± x0

Correct answer: B. K and M

  • A. K and L
  • B. K and M
  • C. K, L and M
  • D. L and M

Explanation

Option B is the correct choice because it accurately describes the energy conditions in simple harmonic motion. Kinetic energy (K.E) reaches its maximum when the displacement is zero (x = 0), as the body is moving fastest through the equilibrium position. Potential energy (P.E), on the other hand, is maximum at the extreme positions (x = ± x0) because these are the points of maximum displacement from the equilibrium position. Option A is incorrect because it incorrectly states that potential energy is maximum at x = 0. Option C includes the same incorrect statement as Option A. Option D is incorrect for the same reason as it includes the incorrect statement that potential energy is maximum at x = 0.

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About Simple Harmonic Motion

Simple harmonic motion is oscillation in which acceleration is directly proportional to displacement and directed toward the equilibrium position. Work includes displacement, velocity, acceleration, phase, period, frequency, amplitude and energy, with applications to springs and simple pendulums. The restoring force and the conditions for SHM distinguish it from general periodic motion.

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