JEE Main · 2019 · 12 Jan 2019 · Shift 2 · Magnetic Properties of Matter

A paramagnetic material has

1 0^{28}

atoms

/ m^{3}

. Its magnetic susceptibility at temperature 350 K is

2.8 \times 1 0^{- 4}

. Its susceptibility at 300 K is :

(A) $3.267 \times 1 0^{- 4}$ ✓ Correct
(B) $3.672 \times 1 0^{- 4}$
(C) $3.726 \times 1 0^{- 4}$
(D) $2.672 \times 1 0^{- 4}$

Answer: (A)

Solution

For a paramagnetic material Curie's law makes the susceptibility vary inversely with temperature,

χ \propto \frac{1}{T}

, so

\frac{χ _{2}}{χ _{1}} = \frac{T _{1}}{T _{2}}

. With

χ_{1} = 2.8 \times 1 0^{- 4}

350

K, cooling to

300

K gives

χ_{2} = 2.8 \times 1 0^{- 4} \times \frac{350}{300} = 2.8 \times 1 0^{- 4} \times \frac{7}{6} = 3.267 \times 1 0^{- 4}

JEE Main · 2019 · 12 Jan 2019 · Shift 2 · Single correct option

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