In the experiment of Purcell and Pound, the maximum

Chapter 3, Problem 21P

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QUESTION:

In the experiment of Purcell and Pound, the maximum magnetic field strength was 0.63 T and the initial temperature was 300 K. Pretending that the lithium nuclei have only two possible spin states (in fact they have four), calculate the magnetization per particle, M/N, for this system. Take the constant \(\mu\) to be \(5 \times 10^{-8} \mathrm{eV} / \mathrm{T}\). To detect such a tiny magnetization, the experimenters used resonant absorption and emission of radio waves. Calculate the energy that a radio wave photon should have, in order to flip a single nucleus from one magnetic state to the other. What is the wavelength of such a photon?

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QUESTION:

In the experiment of Purcell and Pound, the maximum magnetic field strength was 0.63 T and the initial temperature was 300 K. Pretending that the lithium nuclei have only two possible spin states (in fact they have four), calculate the magnetization per particle, M/N, for this system. Take the constant \(\mu\) to be \(5 \times 10^{-8} \mathrm{eV} / \mathrm{T}\). To detect such a tiny magnetization, the experimenters used resonant absorption and emission of radio waves. Calculate the energy that a radio wave photon should have, in order to flip a single nucleus from one magnetic state to the other. What is the wavelength of such a photon?

ANSWER:

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The following are given by the question:

The maximum magnetic field strength,

The initial temperature,

Magnetic moment,

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