Q. Which of the following set of quantum number is correct for an electron in 5f orbital?
NTA AbhyasNTA Abhyas 2020Structure of Atom
Solution:
Any sub-orbit is represented as nl such that n is the principle quantum number (in the form of values) and l is the azimuthal quantum number (its name).
Value of $l < n$ $l$ $0$ $1$ $2$ $3$ $4$ s p d f g
Value of m: -l to +l including 0,
Value of s: $+\frac{1}{2}$ or $-\frac{1}{2}$
for 5f: n = 5, l = 3, m = any value between -3 to +3.
Hence n = 5, l = 3, m = +1, s = $+\frac{1}{2}$ is the correct set. In other options these conditions are not satisfied so they are incorrect.
| Value of $l < n$ | $l$ | $0$ | $1$ | $2$ | $3$ | $4$ |
|---|---|---|---|---|---|---|
| s | p | d | f | g |