The amplitude of a particle executing SHM is 3 cm. The displacement at which its kinetic energy will be 25% more than the potential energy is: cm.
Physics · Simple Harmonic Motion
JEE Mains 2023

Question

The amplitude of a particle executing SHM is 3 cm. The displacement at which its kinetic energy will be 25% more than the potential energy is: cm.

G1 Physics · Accepted Answer

K is 25% more than U, so K=1.25U and total E=K+U=2.25U. Hence U/E=1/2.25=4/9. Since U/E=x²/A², x/A=2/3. With A=3 cm, x=2 cm.