# A sample of mineral oil is placed in an external magnetic field B. Each proton has spin 1/2, and a magnetic moment μ. It can, therefore, have two possible energies, ε = ∓ μ B, corresponding to the two possible orientations of its spin. An applied radio-frequency field can induce transitions between these two energy levels if its frequency ν satisfies the Bohr condition h ν = 2 μ B. The power absorbed from this radiation field is then proportional to the difference in the number of nuclei in these two energy levels.

-A sample of mineral oil is placed in an external magnetic

field B. Each proton has spin 1/2, and a magnetic moment μ. It can, therefore, have two possible energies, ε = ∓ μ B, corresponding to the two possible orientations of its spin. An applied radio-frequency field can induce transitions between these two energy levels if its frequency ν satisfies the Bohr condition h ν = 2 μ B. The power absorbed from this radiation field is then proportional to the difference in the number of nuclei in these two energy levels. Assume that the protons in the mineral oil are in thermal equilibrium at a temperature T that is sufficiently high that μ B ≪ k T . How does the absorbed power depend on the temperature, T , of the sample?

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The post A sample of mineral oil is placed in an external magnetic field B. Each proton has spin 1/2, and a magnetic moment μ. It can, therefore, have two possible energies, ε = ∓ μ B, corresponding to the two possible orientations of its spin. An applied radio-frequency field can induce transitions between these two energy levels if its frequency ν satisfies the Bohr condition h ν = 2 μ B. The power absorbed from this radiation field is then proportional to the difference in the number of nuclei in these two energy levels. appeared first on Superb Professors.