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Multiple Choice
Which of the following are allowed values for the angular momentum quantum number (l) when the principal quantum number (n) is 2?
A
0
B
3
C
2
D
1
Verified step by step guidance
1
Understand the relationship between the principal quantum number (n) and the angular momentum quantum number (l). The principal quantum number (n) determines the energy level of an electron in an atom, while the angular momentum quantum number (l) determines the shape of the electron's orbital.
Recall that the angular momentum quantum number (l) can take integer values from 0 up to (n-1). This means for a given principal quantum number n, the possible values for l are 0, 1, 2, ..., (n-1).
Apply this rule to the given principal quantum number n = 2. The possible values for l are integers from 0 to (2-1), which are 0 and 1.
Evaluate the options provided: 0, 3, 2, and 1. Compare these with the allowed values for l when n = 2, which are 0 and 1.
Identify the correct values for l from the options given. The allowed values for l when n = 2 are 0 and 1, so the correct answers are 0 and 1.