A homogeneous mixture is one where the components are uniformly distributed and cannot be easily distinguished from one another. Among the options provided, a pinch of sugar mixed with a cup of water is most likely to form a homogeneous mixture. In this case, the sugar dissolves in the water, creating a uniform solution where the individual components (sugar and water) cannot be easily distinguished.
The other options involve solid objects or mixtures that would not blend uniformly or show clear separation:
- 10 marbles mixed with 10 small balls would retain their distinct identities and be easily distinguishable.
- A pile of big rocks mixed with a bag of sand would also not form a uniform mixture, as the sizes and types of materials are clearly different.
- 1 cup of peas mixed with 1 cup of carrots would create a heterogeneous mixture, as the peas and carrots remain separate entities.