Question

When n = 4, the total number of subshells in an orbit is n =

• A. 1
• B. 4
• C. 2
• D. 3

Answer 1

The Correct Option is B

To solve the problem, we need to determine the total number of sub-shells when the principal quantum number \( n = 4 \).

1. Understanding the Quantum Numbers:
The number of sub-shells in a given energy level (or orbit) is equal to the value of the principal quantum number \( n \). Each sub-shell is represented by a different azimuthal quantum number \( l \), which ranges from \( 0 \) to \( n - 1 \).

2. Apply the Concept for \( n = 4 \):
Possible values of \( l \) are:
\[ l = 0 \ (\text{s}), \ 1 \ (\text{p}), \ 2 \ (\text{d}), \ 3 \ (\text{f}) \]
So, there are 4 sub-shells: 4s, 4p, 4d, 4f.

Final Answer:
The correct answer is option (B): 4.