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A sample of a paramagnetic salt contains...

A sample of a paramagnetic salt contains `2.0 xx 10^(24)` atomic dipoles each of dipole moment `1.5 xx10^(-23) JT ^(-1)` . 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)

Text Solution

Verified by Experts

Total dipole moment =` 0.15 xx 1.5 xx10^(-23) xx2.0 xx 10^(24) = 4.5 "Am"^(2) or "JT"^(-1)`
Using Curie's law `mu prop B//T`
i.e., `" " m^(1) = 4.5xx (0.98)/(0.64) xx (4.2)/(2.8) = 10.3 JT^(-1)`
New magnetic moment = `10.3 "JT"^(-1) "or" Am^(2)`
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