Step 1: Understanding the Concept:
Nutrient uptake dynamics and nutrient mobility in the soil-plant system are fundamental concepts in crop nutrition and soil science.
Step 2: Detailed Explanation:
- Statement (I) is true: "Luxury consumption" refers to the tendency of plants to absorb a nutrient in excess of their actual physiological requirement for optimum yield when that nutrient is abundant in the soil. This is a common characteristic of potassium ($\text{K}$) uptake in many vegetable crops, particularly root, tuber, and leafy vegetables.
- Statement (II) is false: In the soil, nitrogen fertilizers (especially nitrate, $\text{NO}_3^-$) are highly mobile because they are not adsorbed by the negatively charged soil clay minerals. Potassium ($\text{K}^+$), being a cation, is attracted to and held by the exchange sites on clay complexes, making it only moderately mobile to immobile compared to nitrate nitrogen. Thus, nitrogen is more mobile in soil than potassium.
Step 3: Final Answer:
Statement (I) is true, and Statement (II) is false, which corresponds to Option (C).