A) \[\frac{{{L}^{2}}}{m{{r}^{2}}}\]
B) \[\frac{{{L}^{2}}}{mr}\]
C) \[\frac{L}{mr}\]
D) \[\frac{{{L}^{2}}m}{r}\]
Correct Answer: A
Solution :
[a] From the relation, angular momentum, \[L=mvr\] \[v=\frac{L}{mr}\] Centripetal force acting on the particle \[F=\frac{m{{v}^{2}}}{r}=\frac{m{{\left( \frac{L}{mr} \right)}^{2}}}{r}=\frac{{{L}^{2}}}{m{{r}^{3}}}\]
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