$A$ and $B$ are two wires. The radius of $A$ is twice that of $B.$ They are stretched by the some load. Then the stress on $B$ is
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(b) ${\rm{Stress}} = \frac{{{\rm{force}}}}{{{\rm{Area}}}}$
$\therefore$ ${\rm{Stress}} \propto \frac{{\rm{1}}}{{\pi {{\rm{r}}^{\rm{2}}}}}$
$\frac{{{S_B}}}{{{S_A}}} = {\left( {\frac{{{r_A}}}{{{r_B}}}} \right)^2} = {(2)^2} \Rightarrow {S_B} = 4{S_A}$
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