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Question
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?
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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
χ2 = 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.
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