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The number of radial nodes and nodal pla...

The number of radial nodes and nodal planes in 4p orbitals are respectively

A

2,1

B

1,2

C

2,3

D

3,2

Text Solution

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The correct Answer is:
To determine the number of radial nodes and nodal planes in the 4p orbitals, we can follow these steps: ### Step 1: Identify the Principal Quantum Number (n) and Azimuthal Quantum Number (l) For the 4p orbital: - The principal quantum number \( n = 4 \). - The azimuthal quantum number \( l = 1 \) (since 'p' corresponds to \( l = 1 \)). ### Step 2: Calculate the Number of Radial Nodes The formula for calculating the number of radial nodes is: \[ \text{Number of radial nodes} = n - l - 1 \] Substituting the values we have: \[ \text{Number of radial nodes} = 4 - 1 - 1 = 2 \] ### Step 3: Calculate the Number of Nodal Planes The number of nodal planes is equal to the value of the azimuthal quantum number \( l \): \[ \text{Number of nodal planes} = l = 1 \] ### Step 4: Summarize the Results Thus, for the 4p orbital: - The number of radial nodes is 2. - The number of nodal planes is 1. ### Final Answer The number of radial nodes and nodal planes in 4p orbitals are respectively \( 2, 1 \).
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Knowledge Check

  • The number of radial nodes and angular nodes for d-orbital can be represented as

    A
    (n - 2) radial nodes + 1 angular node = (n - 1) total nodes
    B
    (n - 1) radial nodes + 1 angular node = (n - 1) total nodes
    C
    (n - 3) radial nodes + 2 angular node = (n - l - 1) total nodes
    D
    (n - 3) radial nodes + 2 angular node = (n - 1) total nodes
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