The acceleration d2xdt2 of a particle varies with displacement x as d2xdt2=−kx, where k is a constant of the motion.The time period T of the motion is equal to
A
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B
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C
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D
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Solution
The correct option is C x=asin(ωt+ϕ)T=2π√displacementaccelerationT=2π√xkx=2π√1k