The susceptibility of a paramagnetic material is 99. The permeability of the material in $\mathrm{Wb} / \mathrm{A}-\mathrm{m}$ is : [Permeability of free space $\mu_{0}=4 \pi \times 10^{-7} \mathrm{~Wb} / \mathrm{A}-\mathrm{m}$ ]

JEE Main · 2022 · 27 Jun 2022 · Shift 1 · Magnetic Properties of Matter

The susceptibility of a paramagnetic material is 99. The permeability of the material in

Wb / A - m

is :
[Permeability of free space

μ_{0} = 4 π \times 1 0^{- 7} Wb / A - m

]

(A) $4 π \times 1 0^{- 7}$
(B) $4 π \times 1 0^{- 4}$
(C) $4 π \times 1 0^{- 5}$ ✓ Correct
(D) $4 π \times 1 0^{- 6}$

Answer: (C)

Solution

The relative permeability is related to susceptibility by:

μ_{r} = 1 + χ

Given

χ = 99

μ_{r} = 1 + 99 = 100

The permeability of the material is:

μ = μ_{r} μ_{0} = 100 \times 4 π \times 1 0^{- 7} = 4 π \times 1 0^{- 5} Wb/A-m

Therefore, the answer is (C).

JEE Main · 2022 · 27 Jun 2022 · Shift 1 · Single correct option

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