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JEE Main 20252 AprilMorning Shift

Exam: JEE Main
Year: 2025
Date: 2 April
Shift: Morning Shift
Subject: Physics
Chapter: Magnetic Properties of Matter

JEE Main 2025 · 2 April · Morning Shift · Physics · Magnetic Properties of Matter

The relationship between the magnetic susceptibility ( ) and the...

The relationship between the magnetic susceptibility

(\chi)

and the magnetic permeability

(\mu)

is given by :
(

\mu_0

is the permeability of free space and

\mu_{\mathrm{r}}

is relative permeability)

Options

A $\chi=\frac{\mu}{\mu_0}-1$
B $\chi=\frac{\mu_{\mathrm{r}}}{\mu_0}+1$
C $\chi=\mu_{\mathrm{r}}+1$
D $\chi=1-\frac{\mu}{\mu_0}$

Correct answer

A. $\chi=\frac{\mu}{\mu_0}-1$

Step-by-step solution

We have

\begin{aligned} & \mu_{\mathrm{r}}=(1+\chi) \Rightarrow \chi=\left(\mu_{\mathrm{r}}-1\right) \\ & \mu=\mu_0 \mu_{\mathrm{r}} \Rightarrow \mu_{\mathrm{r}}=\frac{\mu}{\mu_0} \\ & \therefore \chi=\left(\frac{\mu}{\mu_0}-1\right)\end{aligned}

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