The drift velocity of free electrons in a conductor is ‘$v$’ when a current ‘$i$’ is flowing in it. If both the radius and current are doubled, then drift velocity will be
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(b) ${v_d} = \frac{i}{{ne\pi {r^2}}} \Rightarrow {v_d} \propto \frac{i}{{{r^2}}} \Rightarrow \frac{v}{{v'}} = \frac{{{i_1}}}{{{i_2}}} \times {\left( {\frac{{{r_2}}}{{{r_1}}}} \right)^2}$$ \Rightarrow \,\,v' = \frac{v}{2}$.
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