Q. Ratio of kinetic energy at mean position to potential energy at $\frac{A}{2}$ of a particle performing SHM

A) 2:1
B) 4:1
C) 8:1
D) 1:1
Explanation

(b) Kinetic energy $K = \frac{1}{2}m\omega^{2}A^{2} - y^{2}$
At mean position $y = 0$
$K = \frac{1}{2}m\omega^{2}(A^{2})$
Potential energy $U = \frac{1}{2}m\omega^{2}y^{2}$ …(i)
$U\ at\ y = \frac{A}{2}$
$U = \frac{1}{2}\ \frac{mA^{2}}{4}\ \omega^{2}$ …(ii)
Dividing Eq. (i) by Eq. (ii), we get
$\frac{KE}{U} = \frac{4}{1}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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