The electrons are more likely to be found:
Structure of Atom · Class 11 · JEE Main Previous Year Question
The electrons are more likely to be found:
- a
Only in the region a
- b
In the region a and b
- c✓
In the region a and c
- d
Only in the region c
In the region a and c
🧠 Finding the Dense Regions Wave mechanics tells us that electrons don't just "sit" in a circle. They exist in regions of probability. The radial probability distribution () specifically maps where you are most likely to find an electron at a certain distance () from the nucleus.
🗺️ Reading the Peaks and Valleys For a 2s orbital:
- Radial Nodes: . There is exactly one point where the probability drops to zero.
- Regions on Graph:
- Region a (Peak 1): The "inner" probability density. Small, but very close to the nucleus (penetration effect).
- Region b (Valley): The radial node. Probability .
- Region c (Peak 2): The "outer" probability density. Large and broad, representing where the valence electron spends most of its time.
Electrons inhabit the high-probability zones, which are the peaks. Thus, they are most likely found in a and c.
⚡ The Node-Counter Shortcut Any "s" orbital has regions of electron density (peaks) separated by nodes. For 2s, that's regions and node. Identifying the peaks on any probability graph is as simple as counting the "bumps."
⚠️ Common Traps Don't confuse probability density () with radial probability (). The density is maximum at the nucleus for s-orbitals, but the volume element () makes the radial probability zero at . Always check if the graph starts at the origin!
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