Q137 / 160 · AP EAMCET 2003 · Physics

The magnetic susceptibility of the material of a rod is 499. Permeability of vaccum is $4 \pi \times 10^{-7} \mathrm{H} / \mathrm{m}$. Absolute permeability of the material of the rod in $\mathrm{H} / \mathrm{m}$ is:

  • A
    $\pi \times 10^{-4}$
  • Correct answer
    B
    $2 \pi \times 10^{-4}$
  • C
    $3 \pi \times 10^{-4}$
  • D
    $4 \pi 10^{-4}$

Solution

Magnetic susceptibility, $\chi=499$ $\mu_0=4 \pi \times 10^{-7} \mathrm{H} / \mathrm{m}$ Relative permeability of the rod, $\mu_r=1+\chi=1+499=500$ Absolute permeability, $\mu=\mu_r \mu_0$ $=500 \times 4 \pi \times 10^{-7}$ $=20 \pi \times 10^{-5}$ $=2 \pi \times 10^{-4}$

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

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