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Explanation:
The situation is as shown in the figure.
Let T be tension in each wire.AS the bar is supported symmetrically by the three wires, therefore extension in each wire is same
as Y= F/A / ΔL/L
If D is the diameter of the wire
Then Y= F/π(D/2)² / ΔL/L
= 4FL/πD²ΔL
As per the conditions of the problem, F (tension), length L, and extension ΔL is same for each wire
Y∝ 1/D ². or D∝ 1/Y
∴
Dcopper / Diron
= √Yiron / Ycopper
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