The populations of proton spins in the highest energy level of a sample in magnetic fields of 1.5T and 7.0 T are N' and N, respectively. The value of $lndfrac{Nprime}{N}$ in ($gamma$, h, k, 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
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