JEE Main · 2022 · Shift-IIeasyATOM-134

The number of radial and angular nodes in 4d orbital are, respectively:

Structure of Atom · Class 11 · JEE Main Previous Year Question

Question

The number of radial and angular nodes in 4d orbital are, respectively:

Options
  1. a

    1 & 2

  2. b

    3 & 2

  3. c

    1 & 0

  4. d

    2 & 1

Correct Answera

1 & 2

Detailed Solution

🧠 The Nodal Map Nodes are the "dead zones" of an orbital.

  • Angular Nodes (ll): These are planes or cones where electron probability is zero.
  • Radial Nodes (nl1n-l-1): These are spherical shells within the orbital.

🗺️ The Value Check for 4d

  1. Identify Quantum Numbers: For 4d, n=4n=4 and l=2l=2.
  2. Angular Nodes: Angular Nodes=l=2\text{Angular Nodes} = l = 2
  3. Radial Nodes: Radial Nodes=nl1\text{Radial Nodes} = n - l - 1 Radial Nodes=421=1\text{Radial Nodes} = 4 - 2 - 1 = 1

The "Total Nodes" Anchor Total Nodes =n1=3= n - 1 = 3. Since angular nodes take up l=2l=2, the remaining 11 must be radial!

⚠️ Common Traps Be careful not to mix the two. d-orbitals always have exactly 2 angular nodes (l=2l=2).

Answer: (a)\boxed{\text{Answer: (a)}}

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