Question

The time period of the variation of potential energy of a particle executing SHM with period T is
a) T/4
b) T
c) 2T
d) T/2​

Answer 1

Answer:

T

Explanation:

because potential energy also varies periodically with time i.e min. at mean position and max at extremity

Answer 2

The potential energy of particle executing SHM=$\frac{1}{2}$mw²x²

• The relation between w and T is
• T=2П/w or w=2П/T
• Now the potential energy of the
• U=$\frac{1}{2}$m(4П/T²)x²
• U is inversely proportional to T²