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

Step-by-step solution

Using Curie's law, M = C B T   here M   is the magnetization, B   is the magnetic field, T   is the absolute temperature and C   is Curie's constant. Now, given that M 1 = 0 . 8   A   m - 1 if B 1 = 0 . 8   T and T 1 = 5   K   therefore, M 1 = C B 1 T 1 ⇒ 0 . 8 = C 0 . 8 5 ⇒ C = 5   K   A   T - 1   m - 1 If the temperature becomes T 2 = 20   K   then magnetization will be, M 2 = C B 2 T 2 ⇒ M 2 = 5 × 0 . 8