A) 0.15m
B) 0.12m
C) 1.5m
D) 0.5m
Correct Answer: A
Solution :
By the law of conservation of energy, kinetic energy of mass = energy stored in spring i.e., \[\frac{1}{2}m{{v}^{2}}=\frac{1}{2}k{{x}^{2}}\] \[\therefore \] \[{{x}^{2}}=\frac{m{{v}^{2}}}{k}\] \[\Rightarrow \] \[x=\sqrt{\left\{ \left. \frac{m{{v}^{2}}}{k} \right) \right.}\] \[\Rightarrow \] \[x=\sqrt{\left( \frac{0.5\times 1.5\times 1.5}{50} \right)}\] So, \[x=0.15\,m\]
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