JEE Main · 2021 · Shift-IeasyATOM-112

A certain orbital has no angular nodes and two radial nodes. The orbital is:

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

Question

A certain orbital has no angular nodes and two radial nodes. The orbital is:

Options
  1. a

    2s

  2. b

    3s

  3. c

    3p

  4. d

    2p

Correct Answerb

3s

Detailed Solution

🧠 The Nodal Fingerprint Nodes define the architecture of an orbital.

  • No Angular Nodes: Means l=0l = 0. This identifies the orbital as an s-orbital.
  • Two Radial Nodes: Means nl1=2n - l - 1 = 2.

🗺️ The Identifying Math

  1. From Angular Nodes: l=0l = 0.
  2. From Radial Nodes: n01=2    n=3n - 0 - 1 = 2 \implies n = 3
  3. The Identity: Combining n=3n=3 and l=0l=0 gives the 3s orbital.

The "n-1" rule Total nodes always equal n1n-1. If an orbital has 22 radial and 00 angular nodes, its total nodes are 2+0=22+0=2. Thus, n1=2n-1 = 2, which means n=3n=3. If l=0l=0, it must be 3s.

⚠️ Common Traps Don't confuse 2p2p with 3s3s. 2p2p has 1 angular and 0 radial nodes. Always check both node types!

Answer: (b)\boxed{\text{Answer: (b)}}

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A certain orbital has no angular nodes and two radial nodes. The orbital is: (JEE Main 2021) | Canvas Classes