The time taken by a particle performing SHM to pass from point A to B, where its velocities are the same, is 2 seconds. After another 2 seconds it returns to B. The time period of oscillation is:
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Question

The time taken by a particle performing SHM to pass from point A to B, where its velocities are the same, is 2 seconds. After another 2 seconds it returns to B. The time period of oscillation is:

G1 Physics · Accepted Answer

Let the equal-speed points be symmetric about the mean. If their phase positions are ±θ, the first A→B travel and the return to B impose equal 2 s intervals. This gives θ=π/4 and the 2 s interval corresponds to a phase change π/2. Hence ω=(π/2)/2=π/4 and T=2π/ω=8 s. Correct answer: B.