Question

The physical quantity conserved in simple harmonic motion is-
A. Time period
B. Total energy
C. Potential energy
D. Kinetic energy

Answer 1

Hint- Simple harmonic motion can serve as a mathematical model for an assortment of motions, yet is embodied by the oscillation of a mass on a spring when it is subject to the linear elastic restoring force which was given by Hooke's law.

Complete step-by-step answer:
In physics, simple harmonic motion is a unique sort of periodic motion where the restoring force on the moving object is directly proportional to, and opposite of, the object's displacement vector. It results in an oscillation which, if uninhibited by friction or some other dissipation of energy, continues inconclusively.
The motion is sinusoidal in time and represents a particular resonant frequency. Other wonders can be modeled by simple harmonic motion, including the motion of a simple pendulum, in spite of the fact that for it to be a precise model, the net force on the object toward the finish of the pendulum must be proportional to the displacement.
An object's kinetic energy (KE) is the energy it absorbs as a result of its motion. It is characterized as the work needed to accelerate the body of a given mass from the rest to its specified velocity. The body, having absorbed this energy during its acceleration, maintains this kinetic energy until its velocity changes. The body conducts the same volume of labor when decreasing from its current velocity to a resting state.
KE and PE change with time. Total energy is always conserved and equal to $0.5m{A^2}{\omega ^2}$. Thus, we can say that total energy is conserved in simple harmonic motion.
Hence, option B is the correct option.

Note: Simple harmonic motion can also be used to model molecular vibration as well. Simple harmonic motion provides a basis for the portrayal of progressively convoluted periodic motion through the techniques of Fourier analysis.