JEE Main · 2021 · Shift-ImediumATOM-114

The orbital having two radial as well as two angular nodes is:

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

Question

The orbital having two radial as well as two angular nodes is:

Options
  1. a

    5d

  2. b

    4d

  3. c

    4f

  4. d

    3p

Correct Answera

5d

Detailed Solution

🧠 The Node Summation We are looking for an orbital where:

  1. Angular Nodes (ll) = 2. This means it must be a d-orbital.
  2. Radial Nodes (nl1n - l - 1) = 2.

🗺️ The Solving Sequence

  1. Identify ll: l=2l = 2 (d-orbital).
  2. Solving for nn: n21=2n - 2 - 1 = 2 n3=2    n=5n - 3 = 2 \implies n = 5
  3. Conclusion: The orbital is 5d.

The "Total Nodes" Anchor Total nodes =extRadial+extAngular=2+2=4= ext{Radial} + ext{Angular} = 2 + 2 = 4. Since Total Nodes =n1= n-1, we have n1=4n-1 = 4, which means n=5n=5. With l=2l=2, it's 5d.

⚠️ Common Traps Be careful with 4d4d. It has 2 angular nodes but only 421=14-2-1=1 radial node. You need one shell higher!

Answer: (a)\boxed{\text{Answer: (a)}}

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