Correct statements for an element with atomic number 9 are
A. There can be 5 electrons for which $ m_s = +\frac{1}{2} $ and 4 electrons for which $ m_s = -\frac{1}{2} $
B. There is only one electron in $ p_z $ orbital.
C. The last electron goes to orbital with $ n = 2 $ and $ l = 1 $.
D. The sum of angular nodes of all the atomic orbitals is 1.
Choose the correct answer from the options given below:
Element Analysis:
- Atomic number 9 is Fluorine (F)
- Electronic configuration: 1s2 2s2 2p5
- Orbital diagram: 1s2 ↑↓ 2s2 ↑↓ 2p5 ↑↓ ↑↓ ↑
Statement Evaluation:
- A: TRUE - Total electrons = 9 - 5 with ms = +1/2 (all unpaired + one paired)
- 4 with ms = -1/2 (remaining paired electrons)
- B: FALSE - pz orbital contains 1 electron (↑), but same applies to px and py
- Not a unique characteristic
- C: TRUE - Last electron enters 2p orbital (n=2, l=1)
- D: FALSE - Angular nodes = l
- Sum: 1s (0) + 2s (0) + 2p (1 each × 3) = 3 ≠ 1
The energy of an electron in first Bohr orbit of H-atom is $-13.6$ eV. The magnitude of energy value of electron in the first excited state of Be$^{3+}$ is _____ eV (nearest integer value)