Estimate the diamagnetic and paramagnetic electron spin susceptibility of a hydrogen atom gas at room temperature. Compare your magnitudes.
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Estimate the diamagnetic and paramagnetic electron spin susceptibility of a hydrogen atom gas at room temperature. Compare your magnitudes.
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- } M/Mmax 1.0 0.75 Curie's law 0.50 0.25 Approximately linear 1.0 2.0 Quantum theory 3.0 4.0 Bext/T (T/K) • 1.30 K • 2.00 K • 3.00 K • 4.21 K A magnetization curve for potassium chromium sulfate, a paramagnetic salt. The ratio of magnetization M of the salt to the maximum possible magnetization Mmax is plotted versus the ratio of the applied magnetic field magnitude Bext to the temperature T. Curie's law fits the data at the left; quantum theory fits all the data. Based on measurements by W. E. Henry. Consider a solid containing N atoms per unit volume, each atom having a magnetic dipole moment μ. Suppose the direction of μ can be only parallel or antiparallel to an externally applied magnetic field B (this will be the case if μ is due to the spin of a single electron). According to statistical mechanics, the probability of an atom being in a state with energy U is proportional to e-U/kT, where T is the temperature and k is Boltzmann's constant. Thus, because energy U is -μB, the…A sphere of radius R and mass M has a uniform volume charge density p. The sphere rotates as a rigid object with angular speed about an axis through its center. A) What is the angular momentum of the sphere about this axis? B) What is the magnetic moment of the sphere?Figure 8 shows a coaxial cable (two nested cylinders) of length l, inner radius a and outer radius b. Note that l >> a and l >> b. The inner cylinder is charged to +Q and the outer cylinder is charged to −Q. The cable carries a current I, which flows clockwise. Use Ampere’s Law to calculate themagnetic field B⃗ at r<a, a<r<b, and r>b.