6. A solid at temperature is placed in an external magnetic field B = 1 Tesla = 1 × 10¹gauss. The solid contains weakly interacting paramagnetic atoms of spin 1/2, so thatthe energy of each atom is ±μB.a. If the magnetic moment is equal to one Bohr magneton, i.e., μ = h x1.4 MHz/gauss, below what temperature must one cool the solid so that morethan 75% of the atoms are polarized with their spins parallel to the externalmagnetic field?b. Suppose that one considered instead a solid which is free of paramagnetic atomsbut contains many protons (e.g., paraffin). Each proton has spin 1/2 and amagnetic moment µp = h x 2.1 kHz/gauss. At the same temperature as youdetermined in part a., what fraction of protons will have their spins alignedparallel to the external magnetic field?

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