Magnetic Properties of Matter

JEE Main level, single correct, medium

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Question 41 of 57

The susceptibility of a paramagnetic material is 9999. The permeability of the material in Wb/A−mWb/A-m, is [Permeability of free space μ0=4π×10−7Wb/A−m{\mu }_{0}=4\pi \times {10}^{-7}Wb/A-m]

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Answer: (A) 4π×10−54\pi \times {10}^{-5}

Using the relation of magnetic susceptibility (χ)\left(\chi \right) and relative permeability(μr)\left({\mu }_{r}\right).
μr=1+χ=1+99=100{\mu }_{r}=1+\chi =1+99=100
Magnetic permeability, μ=μ0μr\mu ={\mu }_{0}{\mu }_{r}
=4π×10−7×100=4\pi \times {10}^{-7}\times 100
μ=4π×10−5\mu =4\pi \times {10}^{-5}

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