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Starting from the origin, a body oscillates simple harmonically with a period of 2 s. After what time will its kinetic energy become 75% of the total energy?

Asked in JEE Main 2006 · Kinetic, potential and total energy

Answer: (2) 1/6 s

Step-by-step solution

K/E=1-(x²)/(A²)=0.75 gives x=A/2.

Starting from the origin, x=A sin ω t with ω=π rad s⁻¹, so sin π t=1/2, π t=π/6 and t=1/6 s.

Why the other options are wrong

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