5. Which of the following is the lowest value of that the principalquantum number may have?A. 0 B. 1 C. 2 D. 3

1. Break Down the Problem

The question requires understanding the principal quantum number in quantum mechanics and identifying its lowest possible value.

2. Relevant Concepts

• The principal quantum number, denoted by $n$, indicates the energy level of an electron in an atom. The possible values of $n$ are positive integers: $n = 1, 2, 3, \ldots$

3. Analysis and Detail

• The options provided are:
  • A. 0
  • B. 1
  • C. 2
  • D. 3
• Since the principal quantum number $n$ must be a positive integer, the lowest value that $n$ can take is $1$.

4. Verify and Summarize

Option A (0) is not a valid principal quantum number. The values $n$ can take start from 1 and increase positively.

Final Answer

The lowest value of the principal quantum number is B. 1.