Two wires of equal lengths are made of the same material. Wire $A$ has a diameter that is twice as that of wire $B$. If identical weights are suspended from the ends of these wires, the increase in length is
AFour times for wire $A$ as for wire $B$
BTwice for wire $A$ as for wire $B$
CHalf for wire $A$ as for wire $B$
DOne-fourth for wire $A$ as for wire $B$
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DOne-fourth for wire $A$ as for wire $B$
d (d) $l = \frac{{FL}}{{AY}}$ $⇒$ $l \propto \frac{1}{{{r^2}}}$ $(F,L$ and $Y$ are same$)$
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