A particle performs simple harmonic motion with period of 3 second. The time taken by it to cover a distance equal to half the amplitude from mean position is [ sin 3 0 ∘ = 0.5 ]

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(D) T = 3 sec y = A sin ω t 2 A ​ = A sin T 2 π ​ t sin 6 π ​ = sin 3 2 π ​ t 6 π ​ = 3 2 π ​ t ∴ t = 6 π ​ × 2 π 3 ​ = 4 1 ​ s

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