A) \[{{\left( \frac{{{R}_{1}}}{{{R}_{2}}} \right)}^{2}}\]
B) \[\frac{{{R}_{1}}}{{{R}_{2}}}\]
C) \[{{\left( \frac{{{R}_{1}}}{{{R}_{2}}} \right)}^{3}}\]
D) \[{{\left( \frac{{{R}_{1}}}{{{R}_{2}}} \right)}^{1/2}}\]
Correct Answer: A
Solution :
\[{{E}_{k}}=\frac{{{q}^{2}}{{B}^{2}}{{R}^{2}}}{2m}\] The energies of particles are same, then \[m\propto {{R}^{2}}\] \[\therefore \] \[\frac{{{m}_{1}}}{{{m}_{2}}}={{\left( \frac{{{R}_{1}}}{{{R}_{2}}} \right)}^{2}}\]You need to login to perform this action.
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