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JEE Main 201912 JanuaryEvening Shift
Exam
JEE Main
Year
2019
Date
12 January
Shift
Evening Shift
Subject
Physics
Chapter
Magnetic Properties of Matter

JEE Main 2019 · 12 January · Evening Shift · Physics · Magnetic Properties of Matter

A paramagnetic material has 10 ^ 28 atoms m ^ - 3 . Its magnetic...

A paramagnetic material has 1028atomsm−3{10}^{28}atoms{m}^{- 3}. Its magnetic susceptibility at temperature 350K350K is 2.8A~—10−42.8 × {10}^{- 4}. Its susceptibility at 300K300K is

Options

  1. A3.726x10−43.726 x {10}^{- 4}
  2. B2.672x10−42.672 x {10}^{- 4}
  3. C3.267x10−43.267 x {10}^{- 4}
  4. D3.672x10−43.672 x {10}^{- 4}

Correct answer

C. 3.267x10−43.267 x {10}^{- 4}

Step-by-step solution

From Curie's law, the magnetic susceptibility is inversely proportional to the temperature, i.e.,

χ∝1Tχ ∝ \dfrac{1}{T}

Hence, the ratio of magnetic susceptibility at different temperature T1=350K{T}_{1} = 350K and T2=300K{T}_{2} = 300K.

χ2χ1=T1T2\dfrac{{χ}_{2}}{{χ}_{1}} = \dfrac{{T}_{1}}{{T}_{2}}

χ2=χ1×T1T2=2.8×10−4×350300{χ}_{2} = {χ}_{1} \times \dfrac{{T}_{1}}{{T}_{2}} = 2 . 8 \times {10}^{- 4} \times \dfrac{350}{300}

χ2=3.267×10−4{χ}_{2} = 3 . 267 \times {10}^{- 4}.

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