In S.H.M which of the following remains constant?
Correct answer: D. All of these
- A. Total energy
- B. P.F at extreme
- C. K.E at mean
- D. All of these
Explanation
In Simple Harmonic Motion, the total energy of the system remains constant. This is because the energy is continuously being converted between kinetic energy (K.E) and potential energy (P.E).Total energy (E) = K.E + P.EAt the extreme position, the velocity of the particle is zero, so K.E = 0. Therefore, the total energy is equal to the potential energy at the extreme position.At the mean position, the velocity of the particle is maximum, so K.E is maximum. Therefore, the total energy is equal to the kinetic energy at the mean position.The potential energy at the mean position is zero.The potential factor (P.F) is the ratio of potential energy to total energy.P.F = P.E / EAt the extreme position, P.F = 1.At the mean position, P.F = 0.Therefore, the total energy, potential factor at extreme position, and kinetic energy at the mean position remain constant in Simple Harmonic Motion.
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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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