A) \[{{X}^{2}}{{\omega }^{2}}/({{a}^{2}}-{{X}^{2}}{{\omega }^{2}})\]
B) \[{{X}^{2}}/({{a}^{2}}-{{X}^{2}})\]
C) \[({{a}^{2}}-{{X}^{2}}{{\omega }^{2}})/{{X}^{2}}{{\omega }^{2}}\]
D) \[({{a}^{2}}-{{X}^{2}})/{{X}^{2}}\]
Correct Answer: D
Solution :
Kinetic energy \[T=\frac{1}{2}m{{\omega }^{2}}({{a}^{2}}-{{x}^{2}})\] and potential energy, \[V=\frac{1}{2}m{{\omega }^{2}}{{x}^{2}}\] \[\therefore \frac{T}{V}=\frac{{{a}^{2}}-{{x}^{2}}}{{{x}^{2}}}\]You need to login to perform this action.
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