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The susceptibility of a paramagnetic material is χ at 27° C. At what temperature its susceptibility be χ/3? - Physics

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प्रश्न

The susceptibility of a paramagnetic material is χ at 27° C. At what temperature its susceptibility be χ/3?

संख्यात्मक
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उत्तर

Data: χm1 = χ, T1 = 27°C = 300 K, χm2 = `χ/3`

By Curie's law,

`"M"_"z" = "C" "B"_0/"T"`

Since Mz = χmH and B0 = μ0H

χmH = C`(mu_0"H")/"T"`

∴ χ= C `mu_0/"T"`

∴ χ∝ `1/"T"`

∴ `(chi_"m1")/(chi_"m2") = "T"_2/"T"_1`

∴ `"T"_2 = (chi_"m1")/(chi_"m2") xx "T"_1 = 3 chi/chi xx 300 = 900 "K" = 627^circ "C"`

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पाठ 11: Magnetic Materials - Exercises [पृष्ठ २६४]

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बालभारती Physics [English] Standard 12 Maharashtra State Board
पाठ 11 Magnetic Materials
Exercises | Q 11 | पृष्ठ २६४

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