At 300 K , the susceptibility of magnesium is 1.2 × 10^ -5 . Determine the temperature at which the susceptibility increases to 1.8 × 10^ -5 .

Correct answer: B. 200 K According to Curie's law for paramagnetic materials, the magnetic susceptibility is inversely proportional to the absolute temperature T . (1)/(T) _1 T_1 = _2 T_2 Substituting the given values: 1.2 × 10^ -5 × 300 = 1.8 × 10^ -5 × T_2 T_2 = 1.2 × 10^ -5 × 300 1.8 × 10^ -5 T_2 = (2)/(3) × 300 = 200 K

Concepts Of Physics MCQ Edition [Volume 2]

Exam: Concepts Of Physics MCQ Edition [Volume 2]
Subject: Physics
Chapter: Magnetic Properties of Matter

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Magnetic Properties of Matter

At 300 K , the susceptibility of magnesium is 1.2 × 10^ -5 ....

300 \text{ K}

, the susceptibility of magnesium is

1.2 \times 10^{-5}

. Determine the temperature at which the susceptibility increases to

1.8 \times 10^{-5}

Options

A $450 \text{ K}$
B $200 \text{ K}$
C $150 \text{ K}$
D $600 \text{ K}$

Correct answer

B. $200 \text{ K}$

Step-by-step solution

According to Curie's law for paramagnetic materials, the magnetic susceptibility

\chi

is inversely proportional to the absolute temperature

T

\chi \propto \dfrac{1}{T}

\chi_1 T_1 = \chi_2 T_2

Substituting the given values:

1.2 \times 10^{-5} \times 300 = 1.8 \times 10^{-5} \times T_2

T_2 = \dfrac{1.2 \times 10^{-5} \times 300}{1.8 \times 10^{-5}}

T_2 = \dfrac{2}{3} \times 300 = 200 \text{ K}

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