A sample of the paramagnetic salt to which the magnetization
curve of Figure applies is to be tested to see whether it obeys
Curie’s law. The sample is placed in a uniform $0.50$ T magnetic field
that remains constant throughout the experiment. The magnetization M is then measured at temperatures ranging from $10$ to $300$ K.
Will it be found that Curie’s law is valid under these conditions?

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Solution

For the measurements carried out, the largest ratio of the magnetic field to the
temperature is $(0.50 T) / (10 K) = 0.050 T / K$ .

Look at Fig. to see if this is in the
region where the magnetization is a linear function of the ratio. It is quite close to the
origin, so we conclude that the magnetization obeys Curie’s law.

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Q. A sample of paramagnetic salt contains 2.0 × 1024 atomic dipoleseach of dipole moment 1.5 × 10–23 J T–1. The sample is placed undera homogeneous magnetic field of 0.64 T, and cooled to a temperatureof 4.2 K. The degree of magnetic saturation achieved is equal to 15%.What is the total dipole moment of the sample for a magnetic field of0.98 T and a temperature of 2.8 K? (Assume Curie’s law)

A sample of paramagnetic salt contains $2.0 \times 10^{24}$ atomic dipoles each of dipole moment $1.5 \times 10^{- 23} J / T$ .. The sample is placed under a homogeneous magnetic field of $0.64 T$ and cooled to a temperature of $4.2 K$ . The degree of magnetic saturation achieved is equal to $15 %$ . What is the total dipole moment of the sample for a magnetic field of $0.98 T$ and a temperature of $2.8 K$ ? (Assume Curie’s law)