The prodensity curve for 2s electrons appears like

Options

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B.
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Answer

To determine the probability density curve for 2s electrons, we can follow these steps:

### Step-by-Step Solution:

1. **Identify Quantum Numbers**:
- For the 2s orbital, the principal quantum number \( n = 2 \) and the azimuthal quantum number \( l = 0 \) (since it is an s orbital).

2. **Calculate the Number of Radial Nodes**:
- The number of radial nodes can be calculated using the formula:
\[ \text{Number of radial nodes} = n - l - 1 \]
- Substituting the values:
\[ \text{Number of radial nodes} = 2 - 0 - 1 = 1 \]
- This indicates that the probability density curve will have one radial node.

3. **Understanding the Probability Density Curve**:
- The probability density curve represents the likelihood of finding an electron at a certain distance from the nucleus.
- For the 2s orbital, the curve will show a peak (indicating a high probability of finding an electron) followed by a trough (indicating a radial node where the probability of finding an electron is zero).

4. **Sketching the Curve**:
- On the x-axis, we represent the distance from the nucleus (denoted as \( r \)).
- On the y-axis, we represent the probability density.
- The curve will rise to a peak, then drop down to zero (the radial node), and then rise again, showing the characteristic shape of a 2s orbital.

5. **Identify the Correct Option**:
- Based on the characteristics of the 2s probability density curve, we can conclude that the correct option is the one that shows a single trough corresponding to the radial node.

### Final Answer:
The probability density curve for 2s electrons has one radial node and is represented by a curve that rises to a peak, drops to zero, and then rises again.

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