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Ananya Shree

Class 12th
Physics
2 years ago

 A sample of paramagnetic salt contains 2.0 × 1024 atomic dipoles each of dipole moment 1.5 × 10–23 J T–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)

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Muskan Anand

2 years ago

Total dipole moment of the atomic dipole=n×M =2×1024×1.5×10−23=30JT−1 Magnetic saturation is achieved at 15%. M1​=10015​×30=4.5JT−1 When magnetic field is B2​=0.98T,T2​=2.8K, its total dipole moment is M2​. According to Curie's Law, we have, M1​M2​​=B1​B2​​×T2​T1​​ ⟹M2​=10.336JT−1

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