If n = 5,which one of the following is not an allowed magnetic quantum number m₁? A)0 B)2 C)4 D)5

Question

Quizplus · Accepted Answer

The allowed values of mS range from -s to +s, where s is the spin quantum number. For an electron with spin 1/2, the allowed values of mS are -1/2 and +1/2. Therefore, the only options for an electron in an n=5 energy level are:
mS = -1/2, 1/2
Multiplying the values of mS by h/2π gives the actual spin angular momentum vector component along the z-axis, which can be measured experimentally. Therefore, mS cannot be equal to 5, and the correct choice is D.

If N = 5,which One of the Following Is Not