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JEE Advanced
Exam
JEE Advanced
Subject
Physics
Chapter
Magnetic Properties of Matter

JEE Advanced · Physics · Magnetic Properties of Matter

The susceptibility of a magnetism at 300 ~K is 1.2 × 10^ -5 . The...

The susceptibility of a magnetism at 300 K300 \mathrm{~K} is 1.2×10−51.2 \times 10^{-5}. The temperature at which the susceptibility increases to 1.8×10−51.8 \times 10^{-5} is

Options

  1. A150 K150 \mathrm{~K}
  2. B200 K200 \mathrm{~K}
  3. C250 K250 \mathrm{~K}
  4. D20 K20 \mathrm{~K}

Correct answer

B. 200 K200 \mathrm{~K}

Step-by-step solution


χ=CT⇒χ1χ2=T2 T1⇒1.2×10−51.8×10−5=T2300⇒T2⇒1218×300=200 K\begin{aligned} & \chi=\frac{\mathrm{C}}{\mathrm{T}} \\ & \Rightarrow \frac{\chi_{1}}{\chi_{2}}=\frac{\mathrm{T}_{2}}{\mathrm{~T}_{1}} \Rightarrow \frac{1.2 \times 10^{-5}}{1.8 \times 10^{-5}}=\frac{\mathrm{T}_{2}}{300} \\ & \Rightarrow \mathrm{T}_{2} \Rightarrow \frac{12}{18} \times 300=200 \mathrm{~K} \end{aligned}
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