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Question: The magnetic susceptibility of a material of a rod is 499, permeability of vacuum is \(4 \pi \times ...

The magnetic susceptibility of a material of a rod is 499, permeability of vacuum is 4π×10−7H/m4 \pi \times 10 ^ { - 7 } \mathrm { H } / \mathrm { m }. Permeability of the material of the rod in henry/metre is

A

π×10−4\pi \times 10 ^ { - 4 }

B

2π×10−42 \pi \times 10 ^ { - 4 }

C

3π×10−43 \pi \times 10 ^ { - 4 }

D

4π×10−44 \pi \times 10 ^ { - 4 }

Answer

2π×10−42 \pi \times 10 ^ { - 4 }

Explanation

Solution

μr=(1+γm)⇒μr=(1+499)=500\mu _ { r } = \left( 1 + \gamma _ { m } \right) \Rightarrow \mu _ { r } = ( 1 + 499 ) = 500 Also

μ=μ0μr=4π×10−7×500=2π×10−4\mu = \mu _ { 0 } \mu _ { r } = 4 \pi \times 10 ^ { - 7 } \times 500 = 2 \pi \times 10 ^ { - 4 }