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

(C) $2 \pi \times 10^{-4} \mathrm{H} / \mathrm{m}$

(A) $3 \pi \times 10^{-4} \mathrm{H} / \mathrm{m}$

(B) $\pi \times 10^{-4} \mathrm{H} / \mathrm{m}$

(D) $4 \pi \times 10^{-4} \mathrm{H} / \mathrm{m}$

JEE Main · 2021 · 20 Jul 2021 · Shift 2 · Magnetic Properties of Matter

The magnetic susceptibility of a material of a rod is 499 . Permeability in vacuum is

4 π \times 1 0^{- 7} H / m

. Absolute permeability of the material of the rod is:

(A) $3 π \times 1 0^{- 4} H / m$
(B) $π \times 1 0^{- 4} H / m$
(C) $2 π \times 1 0^{- 4} H / m$ ✓ Correct
(D) $4 π \times 1 0^{- 4} H / m$

Answer: (C)

Solution

The absolute permeability of a material of susceptibility

χ

μ = μ_{0} (1 + χ)

. With

χ = 499

μ = 4 π \times 1 0^{- 7} \times 500 = 2000 π \times 1 0^{- 7}

The absolute permeability of the rod is

2 π \times 1 0^{- 4} H/m

JEE Main · 2021 · 20 Jul 2021 · Shift 2 · Single correct option

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