Step 1: Statement of Raoult's law.
According to Raoult's law, the vapour pressure of a solvent in a solution is directly proportional to its mole fraction. For a solution containing a non-volatile solute, the vapour pressure decreases due to the presence of solute particles.
Step 2: Relative lowering of vapour pressure.
The relative lowering of vapour pressure is defined as:
\[
\frac{P^0 - P}{P^0}
\]
where \( P^0 \) is the vapour pressure of pure solvent and \( P \) is the vapour pressure of the solution.
Step 3: Mathematical relation.
For dilute solutions, the relative lowering of vapour pressure is equal to the mole fraction of the solute.
Step 4: Conclusion.
Thus, the correct answer is (D) mole fraction of solute.