Q 12-05-019NEETJEE MainTop questionEasy
The susceptibility of a paramagnetic substance at $27°$C is $3 \times 10^{-4}$. Its susceptibility at $327°$C is
Answer: (B) $1.5 \times 10^{-4}$
Concept. Curie's law for a paramagnet: $\chi \propto \dfrac{1}{T}$ with $T$ in kelvin.
Step 1. Temperatures. $27°$C $= 300$ K and $327°$C $= 600$ K.
Step 2. New susceptibility.
$$\chi_2 = \chi_1\frac{T_1}{T_2} = 3 \times 10^{-4} \times \frac{300}{600} = 1.5 \times 10^{-4}$$
Answer. $1.5 \times 10^{-4}$ (Option B).
Solution by Sreeraj P, M.Sc Physics