# 5.23. A sample of paramagnetic salt contains atomic dipoles each of dipole moment 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  . 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)

Given,

Magnetic field,  = 0.64 T

Temperature,  = 4.2K

And, saturation = 15%

Hence, Effective dipole moment,  = 15% of Total dipole moment

= 0.15 x (no. of atomic dipole × individual dipole moment)

= = 4.5

Now,  Magnetic field,  = 0.98 T and Temperature,  = 2.8 K

Let be the new dipole moment.

We know that according to Curie’s Law,

∴ The ratio of magnetic dipole moments

Therefore, the total dipole moment of the sample for a magnetic field of 0.98 T and a temperature of 2.8 K = 10.336

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