A particle of mass m is executing simple harmonic oscillations about the origin on the…
Physics · JEE Advanced · NTA Exams — Oscillations and Waves
A particle of mass m is executing simple harmonic oscillations about the origin on the x-axis. Its potential energy is \(U(x)=k\left|x^{3}\right|\), where k is a positive constant. If the amplitude of oscillation is a, then its time period T is
- proportional to \(\frac{1}{\sqrt{a}}\)
- proportional to a
- proportional to \(\sqrt{a}\)
- proportional \(\mathrm{a}^{3 / 2}\)
Answer
(A) proportional to 1 a
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