Asked by Kaylee Mariee on Jul 09, 2024

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How many nuclear spin states are allowed for the 1H nucleus?

A) 1
B) 2
C) 3
D) 4
E) 10

Nuclear Spin States

The quantum mechanical states related to the intrinsic angular momentum (spin) of nuclei, which can influence the magnetic properties and behavior of atoms in a magnetic field.

  • Explain the relationship between nuclear spin states and the magnetic field.
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KB
Kaitlyn BernardJul 14, 2024
Final Answer :
B
Explanation :
The number of nuclear spin states allowed is determined by the formula 2I+1, where I is the nuclear spin quantum number. The given nucleus has the following values of I for each of its constituent nuclei:
S- 1/2
U- 5/2
P- 1/2
H-1/2
Using the formula, we get:
2(1/2)+1 * 2(5/2)+1 * 2(1/2)+1 * 2(1/2)+1
= 2 * 6 * 2 * 2
= 48
Therefore, there are 48 nuclear spin states allowed for this nucleus.

However, the question only asks for the number of allowed spin states, and not for their specific values. Since the answer options only include integers, the closest answer is B) 2, which is the correct choice.