Two wires are made of the same material and have the same volume.

Question:

Two wires are made of the same material and have the same volume. However wire 1 has crosssectional area $\mathrm{A}$ and wire 2 has cross-sectional area $3 \mathrm{~A}$. If the length of wire 1 increases by $\Delta \mathrm{x}$ on applying force F, how much force is needed to stretch wire 2 by the same amount ?

1. $6 \mathrm{~F}$

2. $9 \mathrm{~F}$

3. $\mathrm{F}$

4. $4 \mathrm{~F}$

Correct Option: 1

Solution: