A paramagnetic material has 10 28 atoms m - 3 . Its magnetic susceptibility at temperature 350 K is 2.8 ×…

A paramagnetic material has 1028 atoms m-3. Its magnetic susceptibility at temperature 350 K is 2.8×10-4. Its susceptibility at 300 K is
  1. 3.726x10-4
  2. 2.672x10-4
  3. 3.267x10-4
  4. 3.672x10-4

Solution

From Curie's law, the magnetic susceptibility is inversely proportional to the temperature, i.e.,

χ1T

Hence, the ratio of magnetic susceptibility at different temperature T1=350 K and T2=300 K.

χ2χ1=T1T2

χ2=χ1×T1T2=2.8×10-4×350300

χ2=3.267×10-4.

Asked in: JEE Main 2019 (12 Jan Shift 2)

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