# The Susceptibility of Magnesium at 300 K is 1.2 × 10−5. at What Temperature Will the Susceptibility Increase to 1.8 × 10−5? - Physics

Sum

The susceptibility of magnesium at 300 K is 1.2 × 10−5. At what temperature will the susceptibility increase to 1.8 × 10−5?

#### Solution

Given,

Susceptibility of magnesium at 300 K,

$\chi_1= 1.2 × 10^{−5}$

Let T1 be the temperature at which susceptibility of magnesium is 1.2 × 10−5 and Tbe the temperature at which susceptibility of magnesium is 1.8 × 10−5.

According to Curie's law,

$\chi = \frac{C}{T},$

where C is Curie's constant.

$\Rightarrow \frac{\chi_1}{\chi_2} = \frac{T_2}{T_1}$

$\Rightarrow \frac{1 . 2 \times {10}^{- 5}}{1 . 8 \times {10}^{- 5}} = \frac{T_2}{300}$

$\Rightarrow T_2 = \frac{12}{18} \times 300$

$\Rightarrow T_2 = \frac{2}{3} \times 300 = 200 K$

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Chapter 15: Magnetic Properties of Matter - Exercises [Page 287]

#### APPEARS IN

HC Verma Class 11, Class 12 Concepts of Physics Vol. 2
Chapter 15 Magnetic Properties of Matter
Exercises | Q 7 | Page 287

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