A paramagnetic sample shows a net magnetisation of 8 Am ⁻¹ 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 magnetisation will be

Step-by-step solution

Given, M₁=8 Am ⁻¹, B₁=0.6 ~T , T₁=4 ~K , B₂=0.2 ~T and T₂=16 ~K According to Curie's law, for paramagnetic materials, M= C B T M₁= C B₁ T₁ and M₂= C B₂ T₂ M₂ M₁ C B₂ T₂ C B₁ T₁ = B₂ B₁ T₁ T₂ = 0.2 0.6 4 ~K 16 ~K = 1 3 1 4 M₂ M₁ = 1 12 M₂= M₁ 12 = 8 12 M₂= 2 3 Am ⁻¹