A) 60 J
B) 10 J
C) 40 J
D) 45 J
Correct Answer: D
Solution :
\[\frac{U}{E}=\frac{\frac{1}{2}m{{\omega }^{2}}{{y}^{2}}}{\frac{1}{2}m{{\omega }^{2}}{{a}^{2}}}=\frac{{{y}^{2}}}{{{a}^{2}}}\]Þ \[\frac{U}{80}=\frac{{{\left( \frac{3}{4}a \right)}^{2}}}{{{a}^{2}}}=\frac{9}{16}\]Þ \[U=45\,J\]
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