A) \[\frac{{{q}^{2}}B{{r}_{0}}}{2m}\]
B) \[\frac{q{{B}^{2}}{{r}_{o}}}{2m}\]
C) \[\frac{{{q}^{2}}{{B}^{2}}r_{0}^{2}}{2m}\]
D) \[\frac{qB{{r}_{0}}}{2{{m}^{2}}}\]
Correct Answer: C
Solution :
\[{{K}_{\max }}=\frac{1}{2}m{{v}^{2}}\] and \[{{r}_{0}}=\frac{mv}{qB}\] Þ \[v=\frac{qB{{r}_{0}}}{m}\] Þ \[{{K}_{\max }}=\frac{1}{2}m{{\left( \frac{qB{{r}_{0}}}{m} \right)}^{2}}=\frac{{{q}^{2}}{{B}^{2}}r_{0}^{2}}{2m}\]
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