In an atom how many orbital(s) will have the quantum numbers n = 3, l = 2 and ml = +2? (JEE Main Online 2013)

Question

**Options:**
- **A.** 5
- **B.** 3
- **C.** 1
- **D.** 7

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**Difficulty:** MEDIUM | **Chapter:** Atomic Structure | **Topic:** Intro, Dalton's theory, discharge tube & oil drop experiments, Rutherford scattering

Accepted Answer

## ✅ Correct Answer: **C**

### 📖 Detailed Explanation:
**Solution:**

Given quantum numbers: n = 3, l = 2, m = specific value

For **n = 3, l = 2** → 3d subshell

The 3d subshell has 5 orbitals with m_l = -2, -1, 0, +1, +2

Each orbital can hold **2 electrons** (spin up and down)

If m is specified as one value:
- One orbital → **2 electrons** (one with +1/2, one with -1/2 spin)

If asking for total in 3d subshell:
- 5 orbitals → **10 electrons maximum**

Check specific quantum number requirements in question.

**Answer: 2 or 6 or 10** depending on constraints

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In an atom how many orbital(s) will have the quantum numbers n = 3, l = 2 and ml = +2? (JEE Main Online 2013)

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