Which of the following particle will describe the smallest circle when projected with the same velocity perpendicular to the magnetic field ?
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In this case path of charged particle is circular and magnetic force provides the necessary centripetal force, i.e., $\mathrm{Bqv}=\frac{\mathrm{mv}^{2}}{\mathrm{r}}$
or radius of path, $\mathrm{r}=\frac{\mathrm{mv}}{\mathrm{Bq}}$
since, $v$ and $B$ will remain same $r \propto \frac{m}{q}$. The ratio is least for electron. Therefore, it will describe the smallest circle.
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