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Probability of finding an electrons at t...

Probability of finding an electrons at the nodal surface is

A

unity

B

low

C

high

D

zero

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The correct Answer is:
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. **Understand the Concept of Nodal Surface**: - A nodal surface is defined as a region in space where the probability of finding an electron is zero. This means that within this surface, there are no chances of locating an electron. 2. **Define Probability in Quantum Mechanics**: - In quantum mechanics, the probability of finding an electron in a given region is determined by the square of the wave function (ψ) associated with that electron. If the wave function is zero, then the probability is also zero. 3. **Apply the Definition to Nodal Surfaces**: - Since a nodal surface is characterized by a wave function that equals zero, we can conclude that the probability of finding an electron at this surface is also zero. 4. **Conclude the Answer**: - Therefore, the probability of finding an electron at the nodal surface is 0. ### Final Answer: The probability of finding an electron at the nodal surface is **0**. ---
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Knowledge Check

  • Probability of finding an electron at the nodal surface is

    A
    Unity
    B
    Low
    C
    High
    D
    Zero
  • The orbital having zero probability of finding electron on the surface of nucleus is

    A
    s
    B
    `p_(x)`
    C
    `d_(x^(2) -y^(2))`
    D
    Both (2)& (3)
  • The maximum probability of finding electron in the d_(xy) orbital is -

    A
    Along the x-axis
    B
    Along the y-axis
    C
    At an angle of `45^@` from the `x` and y-axis.
    D
    At an angle of `90^@` from the `x` and y-axis.
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