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Question: Answered & Verified by Expert
A paramagnetic sample showing a net magnetization of 0.8 A m-1, when placed in an external magnetic field of strength 0.8 T, at a temperature 5 K. If the temperature is raised to 20 K, then the magnetization becomes
PhysicsMagnetic Properties of MatterAP EAMCETAP EAMCET 2021 (20 Aug Shift 1)
Options:
  • A 0.8 A m-1
  • B 0.2 A m-1
  • C 0.1 A m-1
  • D 0.4 A m-1
Solution:
1888 Upvotes Verified Answer
The correct answer is: 0.2 A m-1

Using Curie's law, M=CBT here M is the magnetization, B is the magnetic field, T is the absolute temperature and C is Curie's constant.

Now, given that M1=0.8 A m-1 if B1=0.8 T and T1=5 K therefore, M1=CB1T10.8=C0.85C=5 K A T-1 m-1

If the temperature becomes T2=20 K then magnetization will be, M2=CB2T2M2=5×0.820=0.2 A m-1

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