A paramagnetic sample shows a net magnetization of 8 A/m when placed in an external magnetic field of 0.6 T at a temperature of 4 K. When the same sample is placed in an external magnetic field of 0.2 T at a temperature of 16 K, the magnetization (in A m ) will be

Step-by-step solution

According to Curie's law, the magnetization M of a paramagnetic material is directly proportional to the external magnetic field B and inversely proportional to the absolute temperature T . M B T M₂ M₁ = B₂ B₁ T₁ T₂ Substituting the given values: M₁ = 8 A/m , B₁ = 0.6 T , T₁ = 4 K B₂ = 0.2 T , T₂ = 16 K M₂ 8 = ( 0.2 0.6 ) ( 4 16 ) M₂ 8 = 1 3 1 4 = 1 12 M₂ = 8 12 = 2 3 A/m Answer: 2 3