Q110 / 150 · MHT CET 2024 (03 May Shift 2) · Physics

The magnetic susceptibility of the material of a rod is 599. The absolute permeability of the material of the rod will be $\left[\mu_0=4 \pi \times 10^{-7}\right.$ SI unit $]$.

  • A
    $2 \pi \times 10^{-4}$
  • Correct answer
    B
    $2.4 \pi \times 10^{-4}$
  • C
    $4 \pi \times 10^{-4}$
  • D
    $4.8 \pi \times 10^{-4}$

Solution

We know, $\mu=\mu_{\mathrm{r}} \mu_0=(1+\chi)$ ... $\mu_{\mathrm{r}}$ is relative permeability Substituting the given values into the above equation, we get $\begin{aligned} \mu_{\mathrm{r}} & =(1+\chi) \mu_{\mathrm{o}}=(1+599)\left(4 \pi \times 10^{-7}\right) \\ \because & =2.4 \pi \times 10^{-4} \end{aligned}$

Hence, the correct answer is option: 'B'.

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