A homogeneous mixture is a mixture in which the composition is uniform throughout, meaning that the components are evenly distributed.
- (A) Sand and water: This is a heterogeneous mixture. Sand and water do not form a uniform mixture. Sand particles do not dissolve in water and settle down over time.
- (B) Grains and pulses with stone: This is also a heterogeneous mixture because the components (grains, pulses, and stones) are easily distinguishable and are not uniformly mixed.
- (C) Mixture of oil and water: This is another heterogeneous mixture. Oil and water do not mix uniformly; they form separate layers due to differences in polarity.
- (D) Dilute aqueous solution of sugar: This is a homogeneous mixture. In a dilute solution of sugar and water, the sugar dissolves completely and is uniformly distributed in the water, making it a uniform solution.
Thus, the correct answer is (D) Dilute aqueous solution of sugar because it is a homogeneous mixture with a uniform composition throughout.