The set of quantum numbers for the probability density shown is
A) n = 2, = 0, m = 0.
B) n = 2, = 0, m = 2.
C) n = 2, = 1, m= ±1.
D) n = 1, = 0, m = ±2.
E) n = 1, = 1, m = 0 .

Question

The set of quantum numbers for the probability density shown is
A) n = 2, = 0, m = 0. 
B) n = 2, = 0, m = 2. 
C) n = 2, = 1, m= ±1. 
D) n = 1, = 0, m = ±2. 
E) n = 1, = 1, m = 0 .

Quizplus · Accepted Answer

The probability density shown in the diagram has two lobes with opposite signs, indicating that the electron is in a p orbital. The p orbital has n = 2 and 11eb1367_50f7_ac42_8021_c9516843e49d_TB7291_11 = 1. The value of m is determined by the number of lobes, which is 2l + 1. In this case, there are two lobes, so m can be ±1. Therefore, the correct set of quantum numbers is n = 2, 11eb1367_50f7_ac42_8021_c9516843e49d_TB7291_11 = 1, m= ±1.

The Set of Quantum Numbers for the Probability Density Shown