MCQOPTIONS
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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. \[\pi \sqrt{\frac{2m}{\alpha }}\] | |