Under review — part of this question (a structure or an option) is not clear in the source scan. 4AB is checking it against the original book; the answer shown may change.
1.5T and 7.0 T are N' and N, respectively. The value of $\ln \frac{N^{\prime}}{N}$ in $(\gamma, \mathrm{h}, \mathrm{k}, \mathrm{T}$ are gyromagnetic ratio of the proton, Planck's constant, Boltzmann constant and temperature of the sample, respectively, assume that the partition functions for both systems can be approximated as 1)
(a)$5.5 \frac{\gamma \mathrm{h}}{k T}$
(b)$\frac{3}{14} \frac{\gamma \mathrm{h}}{k T}$
(c)$\frac{14}{3} \frac{\gamma \mathrm{h}}{k T}$
(d)$8.5 \frac{\gamma \mathrm{h}}{k T}$
Answer
Under review — not yet confirmed.
Answer (as printed): A
Explanation
Total number of population in the excited state is $N'$ and in the ground state is $N$; the partition function $q=1$ in both cases.[The 1/2 part is absent in the answer, which comes from the $\gamma \hbar B M_I$ value; $M_I$ values for the proton are $+1/2$ and $-1/2$.]