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1. |
A particle of mass m oscillates with a potential energy\[U={{U}_{0}}+\alpha \,\,{{x}^{2}}\], where \[{{U}_{0}}\] and a are constants and x is the displacement of particle from equilibrium position. The time period of oscillation is |
A. | \[2\pi \sqrt{\frac{m}{\alpha }}\] |
B. | \[2\pi \sqrt{\frac{m}{2\alpha }}\] |
C. | \[\pi \sqrt{\frac{2m}{\alpha }}\] |
D. | \[2\pi \sqrt{\frac{m}{{{\alpha }^{2}}}}\] |
Answer» C. \[\pi \sqrt{\frac{2m}{\alpha }}\] | |