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

Quizplus · Accepted Answer

The probability density shown has only one radial node which means that 11eaa36f_4545_f007_be11_c963d18ccae6_TB6081_11 = 1. 
The shape of the probability density suggests that it belongs to a p orbital which means that m = 0. 
Also, since the orbital has only one node, the value of n is 2. 
Therefore, the correct set of quantum numbers is n=2, 11eaa36f_4545_f007_be11_c963d18ccae6_TB6081_11=1, m=0, which matches with option B.

The Set of Quantum Numbers for the Probability Density Shown