Probability of finding an electrons at the nodal surface is

Options

A. unity
B. low
C. high
D. zero

Answer

To solve the question regarding the probability of finding an electron at the nodal surface, we can follow these steps:

### Step-by-Step Solution:

1. **Define Nodal Surface**:
A nodal surface is defined as a surface where the electron density is zero. This means that there is no probability of finding an electron at these points.

2. **Understanding Wave Function (Ψ)**:
The wave function, denoted as Ψ (psi), is a mathematical function that describes the quantum state of a particle, such as an electron. The probability of finding an electron in a given region of space is given by the square of the wave function, |Ψ|².

3. **Probability at Nodal Surface**:
At the nodal surface, the wave function Ψ is equal to zero. Therefore, when we calculate the probability of finding an electron, we take the square of the wave function:
\[ P = |\Psi|^2 = 0^2 = 0 \]
This indicates that the probability of finding an electron at the nodal surface is zero.

4. **Conclusion**:
Since the probability of finding an electron at the nodal surface is zero, the correct answer to the question is that the probability is **zero**.

### Final Answer:
The probability of finding an electron at the nodal surface is **zero**.

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