A wall is made of equally thick layers \(P\) and \(Q\) of different materials. Thermal conductivity of \(Q\) is half of that of the \(P\). In the steady state, if the temperature difference across the wall is \(24^{\circ} \mathrm{C}\), then the temperature difference across the layer ' \(P\) ' 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.