If displacement x and velocity y are related as 4v2 = 25-x2 in a SHM Then time period of given SHM is (consider SI units)

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2π

4π

6π

answer is .

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Detailed Solution

Given 4v2 = 5-x2Differentiating with respect to t on both sides,8va = -2xv ⇒ a = -x4Motion is simple harmonic:So, ω2 =14 and T = 2π4 = 4π

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