Two ions having masses in the ratio $1 : 1$ and charges $1 : 2$ are projected into uniform magnetic field perpendicular to the field with speeds in the ratio $2 : 3$. The ratio of the radii of circular paths along which the two particles move is
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(a) $r = \frac{{mv}}{{qB}} \Rightarrow \frac{{{r_1}}}{{{r_2}}} = \frac{{{m_1}{v_1}}}{{{m_2}{v_2}}} \times \frac{{{q_2}}}{{{q_1}}} = \frac{{1 \times 2}}{{1 \times 3}} \times \frac{2}{1} = \frac{4}{3}$
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