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A particle of mass (m) is executing oscillations about the origin on the (x) axis. Its potential energy is `V(x) = k|x|^3` where (k) is a positive constant. If the amplitude of oscillation is a, then its time period (T) is. |
Answer» `U(x) = K|x|^(3)`, but `U = (1)/(2) mA^(2) omega^(2) sin^(2) omegat` `ma^(2) omega^(2) prop Ka^(3) rArr omega prop sqrt(a)` and `T prop (1)/(sqrt(a))` |
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