InterviewSolution
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InterviewSolution
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An object of mass `m` is attached to a spring. The restroing force of the spring is `F - lambdax^(3)`, where `x` is the displacement. The oscillation period depends on the mass, `l`mabd and oscillation amplitude. Suppose the object is initially at rest. If the initial displacement is `D` then its period is `tau`. If the initial displacement is `2D`, find the period.A. `8tau`B. `2tau`C. `tau`D. `tau//2` |
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Answer» Correct Answer - D Through dimensional analysis `[lambda] = [ML^(-2)T^(-2)]` `T prop m^(a)lambda^(b)A^(c)` `[T] = [M]^(a) [ML^(-2)T^(-2)]^(b)[L]^(c)` `a = 1/2, b = (-1)/(2), c = -1` `T = prop (1)/(A)` |
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