Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →
Sign in

Magnetic Properties of Matter question

2021 · 20 Jul · Shift 2 · Q63
Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.
  1. PYQ Library
  2. /JEE Main
  3. /Physics
  4. /Magnetic Properties of Matter
  5. /2021 · 20 Jul · Shift 2 · Q63

Magnetic Properties of Matter question

2021 · 20 Jul · Shift 2 · Q63

JEE MainPhysicsMagnetic Properties of MatterMCQ+4 / −1
The magnetic susceptibility of a material of a rod is 499. Permeability in vacuum is 4 π×\pi\timesπ× 10 −-− 7 H/m. Absolute permeability of the material of the rod is :
  1. A
    4 π×\pi\timesπ× 10 −-− 4 H/m
  2. B
    2 π×\pi\timesπ× 10 −-− 4 H/m
  3. C
    3 π×\pi\timesπ× 10 −-− 4 H/m
  4. D
    π×\pi\timesπ× 10 −-− 4 H/m
View written solutionFree

Correct answer: B

  1. 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 = absolute permeability of the material
  • μ0=4π×10−7 H/m\mu_0 = 4\pi \times 10^{-7}\ \text{H/m}μ0​=4π×10−7 H/m
  • χm=499\chi_m = 499χm​=499
  1. Substitute the given values
μ=4π×10−7(1+499)\mu = 4\pi \times 10^{-7}(1+499)μ=4π×10−7(1+499) μ=4π×10−7×500\mu = 4\pi \times 10^{-7} \times 500μ=4π×10−7×500
  1. Simplify
500×10−7=5×10−5500 \times 10^{-7} = 5 \times 10^{-5}500×10−7=5×10−5

So,

μ=4π×5×10−5\mu = 4\pi \times 5 \times 10^{-5}μ=4π×5×10−5 μ=20π×10−5\mu = 20\pi \times 10^{-5}μ=20π×10−5 μ=2π×10−4 H/m\mu = 2\pi \times 10^{-4}\ \text{H/m}μ=2π×10−4 H/m
  1. Match with the options
μ=2π×10−4 H/m\mu = 2\pi \times 10^{-4}\ \text{H/m}μ=2π×10−4 H/m

This corresponds to Option B.

PreviousNext

More from Magnetic Properties of Matter

  • Statement I : The ferromagnetic property depends on temperature. At high temperature, ferromagnet becomes paramagnet. Statement II : At high temperature, the domain wall area of a ferromagnetic substance increases. In the light of the…2021 · MCQ
  • A soft ferromagnetic material is placed in an external magnetic field. The magnetic domains :2021 · MCQ
  • In a ferromagnetic material, below the curie temperature, a domain is defined as :2021 · MCQ
  • The value of aluminium susceptibility is 2.2 × 10 − 5. The percentage increase in the magnetic field if space within a current carrying toroid is filled with aluminium is 104x​. Then the value of x is ​…2021 · Numerical
  • In a uniform magnetic field, the magnetic needle has a magnetic moment 9.85 × 10 − 2 A/m2 and moment of inertia 5 × 10 − 6 kg m2. If it performs 10 complete oscillations in 5 seconds then the magnitude of the magnetic…2021 · Numerical
  • A perfectly diamagnetic sphere has a small spherical cavity at its centre, which is filled with a paramagnetic substance. The whole system is placed in a uniform magnetic field B . Then the field inside the paramagnetic… Includes diagram2020 · MCQ
  • A small bar magnet placed with its axis at 30o with an external field of 0.06 T experiences a torque of 0.018 Nm. The minimum work required to rotate it from its stable to unstable equilibrium position is :2020 · MCQ
  • A paramagnetic sample shows a net magnetisation of 6 A/m when it is placed in an external magnetic field of 0.4 T at a temperature of 4 K. When the sample is placed in an external magnetic field of 0.3 T at a temperature of 24 K, then the…2020 · MCQ