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QJEEM21Ph85ab: JEE Main 2021 Physics - Class 11 JEEM21Ph85ab Solution: A particle performs simple harmonic motion with a period of 2…

A particle performs simple harmonic motion with a period of 2 second. The time taken by the particle to cover a displacement equal to half of its amplitude from the mean position is 1as. The value of 'a' to the nearest integer is _________.

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Time period (T) = 2 sec.

X = A sin (ωt + ϕ) (ϕ = 0 at M.P.)

⇒ A2=Asin⁡2πTt

⇒ 2π2t=π6

⇒ t=16

∴ a = 6

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