A light rod of length 1 m is suspended from ceiling horizontally by means of two vertical wires of equal length tied to its ends. One of the wires is made of material X and is of cross-section \(0.1\ \text{cm}^2\) and the other of material Y of cross-section \(0.3\ \text{cm}^2\). A weight is hung from the wire at a point to produce equal strain in the wires. The ratio of Young's moduli of wires A to B is 3:1. The location of the point from one end of the wire is

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.