Which of the is greatest in SHM ?

Question

(a) Avg. Kinetic energy with respect to space

(b) Avg. Potential energy with respect to space

(c) Avg. kinetic energy with respect to time

(d) Avg. Potential energy with respect to time

Answer 1

The correct answer is a

• Average kinetic energy with respect to space = 1/3kA²

^{The average K.E can be given by:}

^{Hence, average KE with respect to mean position will be}

• Average potential energy with respect to space = 1/6kA²
• Average kinetic energy with respect to time = 1/4kA² 
• Average potential energy with respect to time = 1/4kA².

Comments

Please can u tell me how have u found the values of average kinetic and potential energy with respect to space

---

The explanation is given above

---

Thanks