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If \(\chi\) stands for the magnetic susceptibility of a substance,for its magnetic permeability and \(\mu_{0}\) for the permeability of free space, then
(A) for a paramagnetic substance : \(\chi>0, \mu>0\)
(B) for a paramagnetic substance \(: \chi>0, \mu>\mu_{0}\)
(C) for a diamagnetic substance : \(\chi<0, \mu<0\)
(D) for a ferromagnetic substance \(: \chi>1, \mu<\mu_{0}\)

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Ans:(B,D)
$$
\chi=\mu_{r}-1, \mu_{r}=\frac{\mu}{\mu_{0}}
$$
For paramagnetic, \(\chi>0 \quad \therefore \mu_{r}>1 \quad \therefore \mu>\mu_{0}\)
For diamagnetic, \(\chi<0 \quad \therefore \mu_{\mathrm{r}}<1 \quad \therefore \mu<\mu_{0}\)
For ferromagnetic, \(\chi>>1 \quad \mu>>\mu_{0}\)
Note: If \(0<\mu<\mu_{0}\) then substance will not be paramagnetic. Hence option \(A\) is incorrect.
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