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 shows a p orbital, which has l=1. Therefore, the possible values of ml are -1, 0, and 1. Since the graph shows no nodal planes, the value of ml must be either +1 or -1, leading to option C as the correct choice. The value of n is 2 since there is one complete wave cycle in the plot.

The Set of Quantum Numbers for the Probability Density Shown