A particle in SHM has equal kinetic and potential energies at a certain instant. Which option correctly gives the magnitude of its displacement and speed at that instant?
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Question

A particle in SHM has equal kinetic and potential energies at a certain instant. Which option correctly gives the magnitude of its displacement and speed at that instant?

G1 Physics · Accepted Answer

Equal kinetic and potential energies imply K = U = E/2. Since U/E = x²/A², we get x²/A² = 1/2. Thus, |x| = A/√2. The speed is v = ω√(A²−x²) = ω√(A²−A²/2) = Aω/√2. Correct option: B.