# The Susceptibility of Magnesium at 200 K is 1-8 X 10^-5. at What Temperature Will the Susceptibility Decrease by 6 X 10^-6? - Physics

The susceptibility of magnesium at 200 K is 1.8 x 10-5. At what temperature will the susceptibility decrease by 6 x 10-6?

#### Solution

Given,

T = 200K,

χ1 = 1.8 × 10−5

χ1 - χ2 = 6 × 10-6

To Find: Required temperature (T2)

Formula: χT=constatnt

Calculation :

χ1 - χ2 = 6 × 10-6

χ2 = 1.8×10-5 - 0.6×10-5

χ= 1.2 ×10-5

From formula,

∴χT = constant

χ1T1 = χ2T2

T_2 =(chi_1T_1)/chi_2

T_2=(1.8xx10^-5xx200)/(1.2xx10^-5)

T_2 = 300K

The required temperature is 300 K.

Concept: Magnetic Properties of Materials
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