The susceptibility of a magnetic material is `chi` at `127^(@)C`. At what temperature , its susceptibility will be reduced to half of its original value ?

Options

A. `327^(@)C`
B. `427^(@)C`
C. `527^(@)C`
D. `627^(@)C`

Answer

C

Explanation

Applying Curie's law , we can write `chiprop(1)/(T)`
`therefore (chi_2)/(chi_1)=(T_1)/(T_2)` but it is given that `(chi_2)/(chi_1)=(1)/(2)` and `T_1=273+127=400K`
`therefore (1)/(2)=(400)/(T_2)`
`therefore T_2=800K=(800-273)=527^(@)C`.