A sample of paramagnetic salt contains
atomic dipoles, each of dipole moment
. The sample is placed under a homogeneous magnetic field of 0.84 T and cooled to a temperature of 4.2 K. The degree of magnetic saturation achieved is equal to
. The total dipole moment of the sample for a magnetic field of 0.98 T and a temperature of 2.8 K is
Text Solution
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According to Curie's law,
… (i)
and magnetic susceptibility,
… (ii)
From Eqs. (i) and (ii), we get


For a given sample,
constant.
Thus, 





Initial total magnetic moment of the sample, i.e.
of
, where n is the number of atomic dipoles and m is the dipole moment of each dipole.
Given,
and
of
Thus, 
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