A rigid bar of mass M is supported symmetrically by three wires each of length l. Those at each end are of copper and the middle one is of iron. The ratio of their diameters, if each is to have the same tension, is equal to:

1. ${\mathrm{Y}}_{\mathrm{Copper}}/{\mathrm{Y}}_{\mathrm{iron}}$

2. $\sqrt{\frac{{\mathrm{Y}}_{\mathrm{iron}}}{{\mathrm{Y}}_{\mathrm{Coper}}}}$

3. $\frac{{{\mathrm{Y}}^2}_{\mathrm{iron}}}{{{\mathrm{Y}}^2}_{\mathrm{copper}}}$

4. $\frac{{\mathrm{Y}}_{\mathrm{iron}}}{{\mathrm{Y}}_{\mathrm{Copper}}}$

A copper and a steel wire of the same diameter are connected end to end. A deforming force \(F\) is applied to this composite wire which causes a total elongation of \(1\) cm. The two wires will have:

Choose the correct option: