A) \[\frac{U}{25}\]
B) \[\frac{U}{5}\]
C) \[25U\]
D) \[5U\]
Correct Answer: A
Solution :
The relation for potential energy is \[U=\frac{1}{2}m{{\omega }^{2}}{{y}^{2}}\] \[U\propto {{y}^{2}}\] \[\frac{{{U}_{1}}}{{{U}_{2}}}={{\left( \frac{{{y}_{1}}}{{{y}_{2}}} \right)}^{2}}\] \[\frac{U}{{{U}_{2}}}={{\left( \frac{2}{10} \right)}^{2}}=\frac{4}{100}\] \[{{U}_{2}}=25\,\,U\]
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