To solve this problem, we need to understand the concept of the radial probability density for the 2s orbital.
The graph provided shows the radial probability density as a function of distance from the nucleus.
Explanation:
- Radial Probability Density:
- Radial probability density is the probability of finding an electron at a certain distance from the nucleus. For the 2s orbital, this graph typically shows two peaks.
- Identifying Peaks:
- In the graph, the peaks are marked as X and Y. These represent the most probable distances from the nucleus where an electron can be found.
- Distance Between Peaks:
- The problem asks for the distance between these two peaks (X and Y).
- Options Analysis:
- You’re given several distances: 2.07 Å, 1.59 Å, 0.53 Å, and 2.12 Å.
- Typically, for the 2s orbital, the distance between the peaks corresponds to a known value based on atomic data.
- Answer:
- For the 2s orbital, the correct distance between the peaks X and Y is usually around 1.59 Å.
Thus, the correct answer is (B) 1.59 Å. This is based on the typical behavior and known data for the 2s orbital in quantum chemistry.