Question

In a simple harmonic motion

• A. the potential energy is always equal to the kinetic energy
• B. the potential energy is never equal to the kinetic energy
• C. the average potential energy in any time interval is equal to the average kinetic energy in that time interval
• D. the average potential energy in one time period is equal to the average kinetic energy in this period.

Answer 1

Answer: (D)

the average potential energy in one time period is equal to the average kinetic energy in this period.

In simple harmonic motion,

Kinetic Energy =$\frac{1}{2}k(A^2-x^2)$ and Potential energy = $\frac{1}{2}k{x}^2$

Since kinetic energy and potential energy are conservative in nature.

then the average potential energy in one time period is equal to the average kinetic energy in this period.

Hence option D is correct.