A diatomic molecules is initially in the state Ψ(Θ, Φ) = (5Y11 + 3Y51 + 2Y5−1) / (38)½ where Ylm is a spherical harmonics. If measurements are made of the total angular momentum quantum number l and of azimuthal angular momentum quantum number m, what is the probability of obtaining the results l = 5?
A. 36/1444
B. 9/38
C. 13/38
D. 5/(38)½
E. 34/38
(GR9677 #33)
l = 5 → Y51 and Y5−1
Probability, P = ∑i |ci|2
P = |3/√38|2 + |2/√38|2 = 9/38 + 4/38 = 13/38
Answer: C
No comments :
Post a Comment