JEE Main · 2025 · Shift-IImediumATOM-207

For electron in '2s' and '2p' orbitals, the orbital angular momentum values, respectively are:

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

Question

For electron in '2s' and '2p' orbitals, the orbital angular momentum values, respectively are:

Options
  1. a

    2h2π\sqrt{2}\tfrac{h}{2\pi} and 0

  2. b

    h2π\tfrac{h}{2\pi} and 2h2π\sqrt{2}\tfrac{h}{2\pi}

  3. c

    0 and 6h2π\sqrt{6}\tfrac{h}{2\pi}

  4. d

    0 and 2h2π\sqrt{2}\tfrac{h}{2\pi}

Correct Answerd

0 and 2h2π\sqrt{2}\tfrac{h}{2\pi}

Detailed Solution

🧠 Shape Over Energy Orbital angular momentum (LL) is a measure of the "swirl" of an electron. It depends exclusively on the azimuthal quantum number (ll), which determines the subshell's shape. The principal quantum number nn (shell energy) has no effect on this value.

🗺️ The Subshell Audit The formula is: L=l(l+1)h2πL = \sqrt{l(l+1)} \frac{h}{2\pi}

  1. For '2s' orbital: Any ss orbital has l=0l = 0. L=0(0+1)h2π=0L = \sqrt{0(0+1)} \frac{h}{2\pi} = 0
  2. For '2p' orbital: Any pp orbital has l=1l = 1. L=1(1+1)h2π=2h2πL = \sqrt{1(1+1)} \frac{h}{2\pi} = \sqrt{2} \frac{h}{2\pi} The values are 0 and 2h2π\sqrt{2} \frac{h}{2\pi} respectively.

The Quick "S" Zero Just remember: s = Zero. LL is zero for all ss orbitals. If the first value in an option isn't zero, cross it out immediately!

⚠️ Subscripts matter Ensure you don't confuse h/2πh/2\pi with just hh. The factor of 2π2\pi is part of the reduced Planck constant (\hbar) which is the fundamental unit for angular momentum.

Answer: (d)\boxed{\text{Answer: (d)}}

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For electron in '2s' and '2p' orbitals, the orbital angular momentum values, respectively are: (JEE Main 2025) | Canvas Classes