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A point performs simple harmonic oscillation of period T and the equation of motion is given by x= a sin .After the elapse of what fraction of the time period the velocity of the point will be equal to half to its maximum velocity?

(a)$\frac{T}{8}$

(b) $\frac{T}{6}$

(c) $\frac{T}{3}$

(d) $\frac{T}{12}$

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