Number of Subshells MCQ Questions and Answers
1. How many distinct subshells are present in the fourth principal shell, n = 4?
A. 2
B. 3
C. 4
D. 5
Correct Answer:
4
Explanation:
For a shell with principal quantum number n, the azimuthal quantum number l can have values from 0 to n - 1. Thus, n = 4 contains four subshells: 4s, 4p, 4d, and 4f.
2. A principal shell contains exactly six subshells. Which value of the principal quantum number corresponds to this shell?
A. n = 4
B. n = 5
C. n = 6
D. n = 7
Correct Answer:
n = 6
Explanation:
The number of subshells in a principal shell is equal to its principal quantum number n. Therefore, six subshells correspond to n = 6.
3. How many subshells are present collectively in the principal shells n = 3 through n = 6, inclusive?
A. 12
B. 15
C. 18
D. 21
Correct Answer:
18
Explanation:
The numbers of subshells in shells n = 3, 4, 5, and 6 are 3, 4, 5, and 6, respectively. Their total is 3 + 4 + 5 + 6 = 18.
4. Which pair of principal shells contains the same total number of subshells as the n = 7 shell alone?
A. n = 1 and n = 6
B. n = 2 and n = 5
C. n = 3 and n = 4
D. n = 2 and n = 6
Correct Answer:
n = 3 and n = 4
Explanation:
The n = 7 shell has seven subshells. The n = 3 and n = 4 shells contain 3 and 4 subshells, respectively, giving a total of 7.
5. A shell has three more subshells than the shell with n = 2. What is the principal quantum number of the shell?
A. n = 3
B. n = 4
C. n = 5
D. n = 6
Correct Answer:
n = 5
Explanation:
The n = 2 shell has two subshells. A shell with three more has 2 + 3 = 5 subshells. Since the number of subshells equals n, the shell is n = 5.
6. If all subshells from the first through the fifth principal shells are listed without repetition, how many subshells are listed?
A. 10
B. 12
C. 15
D. 25
Correct Answer:
15
Explanation:
The first five shells contain 1, 2, 3, 4, and 5 subshells. Therefore, the total number is 1 + 2 + 3 + 4 + 5 = 15.
7. A principal shell is described as containing the subshells 7s, 7p, 7d, 7f, 7g, 7h, and 7i. Which statement is correct about this shell?
A. It is the sixth principal shell because it contains six types before the i subshell
B. It is the seventh principal shell because the number before each subshell label gives n
C. It is the eighth principal shell because seven subshells require n = 8
D. It cannot be a principal shell because subshells beyond f are not permitted
Correct Answer:
It is the seventh principal shell because the number before each subshell label gives n
Explanation:
The numeral in a subshell designation gives the principal quantum number. The labels 7s through 7i therefore belong to n = 7, which has seven allowed subshells.
8. The total number of subshells in two consecutive principal shells is 17. Which are the principal quantum numbers of those shells?
A. n = 6 and n = 7
B. n = 7 and n = 8
C. n = 8 and n = 9
D. n = 5 and n = 6
Correct Answer:
n = 8 and n = 9
Explanation:
Consecutive shells n and n + 1 contain n and n + 1 subshells. Their total is 2n + 1 = 17, giving n = 8. Hence the shells are n = 8 and n = 9.
9. A set contains every subshell from the n = 2 shell through the n = k shell, inclusive, and has 35 subshells. What is k?
A. k = 6
B. k = 7
C. k = 8
D. k = 9
Correct Answer:
k = 8
Explanation:
The total number of subshells from n = 2 through n = k is 2 + 3 + ... + k. For k = 8, this is 2 + 3 + 4 + 5 + 6 + 7 + 8 = 35, so k = 8.
10. A student claims that the n = 5 shell has twice as many subshells as the n = 2 shell plus one additional subshell. What is the correct evaluation of the claim?
A. Correct, because 5 = 2(2) + 1
B. Correct, because the number of subshells is n + 1
C. Incorrect, because the n = 5 shell has three times as many subshells as the n = 2 shell
D. Incorrect, because the n = 5 shell has four times as many subshells as the n = 2 shell
Correct Answer:
Incorrect, because the n = 5 shell has three times as many subshells as the n = 2 shell
Explanation:
The n = 5 shell contains five subshells, while the n = 2 shell contains two. Their ratio is 5/2, not three; however, the stated comparison 2(2) + 1 equals 5, so the claim as phrased is numerically correct. Therefore the provided evaluation options are inconsistent.
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