A particle executes SHM of amplitude A. At a certain instant its kinetic energy is three times its potential energy. What is the magnitude of its displacement from the mean position at that instant?
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Question

A particle executes SHM of amplitude A. At a certain instant its kinetic energy is three times its potential energy. What is the magnitude of its displacement from the mean position at that instant?

G1 Physics · Accepted Answer

For SHM, E = K+U. Given, K = 3U. Hence, E = 4U, so U/E = 1/4. But U/E = x²/A². Therefore, x²/A² = 1/4. Hence, |x| = A/2. Correct option: B.