A) \[{{\left( \frac{{{R}_{1}}}{{{R}_{2}}} \right)}^{1/2}}\]
B) \[\frac{{{R}_{2}}}{{{R}_{1}}}\]
C) \[{{\left( \frac{{{R}_{1}}}{{{R}_{2}}} \right)}^{2}}\]
D) \[\frac{{{R}_{1}}}{{{R}_{2}}}\]
Correct Answer: C
Solution :
\[r=\frac{\sqrt{2mk}}{qB}=\frac{1}{B}\sqrt{\frac{2mV}{q}}\] Þ \[r\propto \sqrt{m}\] Þ \[\frac{{{m}_{1}}}{{{m}_{2}}}={{\left( \frac{{{R}_{1}}}{{{R}_{2}}} \right)}^{2}}\]
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