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BITSAT 2014
Exam
BITSAT
Year
2014
Subject
Physics
Chapter
Magnetic Properties of Matter

BITSAT 2014 · 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 300K300 \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. A150K150 \mathrm{ K}
  2. B200K200 \mathrm{ K}
  3. C250K250 \mathrm{ K}
  4. D20K20 \mathrm{ K}

Correct answer

B. 200K200 \mathrm{ K}

Step-by-step solution

χ=CT⇒χ1χ2=T2T1⇒1.2×10−51.8×10−5=T2300⇒T2⇒1218×300=200K\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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