Displacement between the maximum potential energy (P. E.) position and the maximum kinetic energy (K. E.) position for a particle executing simple harmonic motion is:
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Displacement between the maximum potential energy (P.E.) position and the maximum kinetic energy (K.E.) position for a particle executing simple harmonic motion is:

G1 Physics · Accepted Answer

Step 1: Potential energy U = ½kx² is greatest at the turning points x = ±a. Step 2: Kinetic energy K = ½k(a² − x²) is greatest at the mean position x = 0. Step 3: The displacement from the position of maximum K.E. to that of maximum P.E. is Δx = ±a. Final answer: (B) ±a.