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