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Magnetic Properties of Matter question

2022 · 27 Jun · Shift 1 · Q51
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  5. /2022 · 27 Jun · Shift 1 · Q51

Magnetic Properties of Matter question

2022 · 27 Jun · Shift 1 · Q51

JEE MainPhysicsMagnetic Properties of MatterMCQ+4 / −1
The susceptibility of a paramagnetic material is 99. The permeability of the material in Wb/A-m, is : [Permeability of free space μ\muμ 0 = 4 π×\pi\timesπ× 10 −-− 7 Wb/A-m]
  1. A
    4 π×\pi\timesπ× 10 −-− 7
  2. B
    4 π×\pi\timesπ× 10 −-− 4
  3. C
    4 π×\pi\timesπ× 10 −-− 5
  4. D
    4 π×\pi\timesπ× 10 −-− 6
View written solutionFree

Correct answer: C

  1. Use the relation between susceptibility and permeability

For a magnetic material,

μ=μ0(1+χm)\mu = \mu_0(1+\chi_m)μ=μ0​(1+χm​)

where:

  • μ\muμ = permeability of the material
  • μ0=4π×10−7 Wb/A-m\mu_0 = 4\pi \times 10^{-7}\ \text{Wb/A-m}μ0​=4π×10−7 Wb/A-m
  • χm\chi_mχm​ = magnetic susceptibility

Given:

χm=99\chi_m = 99χm​=99
  1. Substitute the value
μ=μ0(1+99)=100μ0\mu = \mu_0(1+99) = 100\mu_0μ=μ0​(1+99)=100μ0​ μ=100×4π×10−7\mu = 100 \times 4\pi \times 10^{-7}μ=100×4π×10−7
  1. Simplify
μ=4π×10−5 Wb/A-m\mu = 4\pi \times 10^{-5}\ \text{Wb/A-m}μ=4π×10−5 Wb/A-m
  1. Match with the options
  • A: 4π×10−74\pi \times 10^{-7}4π×10−7
  • B: 4π×10−44\pi \times 10^{-4}4π×10−4
  • C: 4π×10−54\pi \times 10^{-5}4π×10−5
  • D: 4π×10−64\pi \times 10^{-6}4π×10−6

Hence, the correct option is:

C\boxed{\text{C}}C​
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