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A particle is executing simple harmonic motion (SHM). The ratio of potential energy to kinetic energy of the particle when its displacement is half of its amplitude will be

Asked in JEE Main 12th April 1st Shift 2023 · Kinetic, potential and total energy

• (1) 1:4
• (2) 1:3
• (3) 1:1
• (4) 2:1

Step-by-step solution

Why the other options are wrong

• (1) Compares the potential energy with the total energy rather than with the kinetic energy.
• (3) Equal energies occur at x=A/(√2), not at A/2.
• (4) Inverts the ratio and mis-evaluates it as well.

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