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MHT CET 202625 AprilEvening Shift
Exam
MHT CET
Year
2026
Date
25 April
Shift
Evening Shift
Subject
Physics
Chapter
Magnetic Properties of Matter

MHT CET 2026 · 25 April · Evening Shift · Physics · Magnetic Properties of Matter

A magnetic material has a relative permeability (μ_r) of 6001 . If...

A magnetic material has a relative permeability (μr)(\mu_r) of 60016001. If it is placed in a magnetizing field (magnetic intensity)ofH=2000 A/mof H = 2000\ \text{A/m}, The total magnetic induction (B)(B) inside the material is nearly equal to
μ0=4π×10−7 T⋅m/A\mu_0 = 4\pi \times 10^{-7}\ \text{T}\cdot\text{m/A}

Options

  1. A5π T5\pi\ T
  2. B3π T3\pi\ T
  3. C4.8π T4.8\pi\ T
  4. D12π T12\pi\ T

Correct answer

C. 4.8π T4.8\pi\ T

Step-by-step solution

The total magnetic induction BB inside a magnetic material is given by the formula:

B=μH=μ0μrHB = \mu H = \mu_0 \mu_r H

Given:
Relative permeability, μr=6001≈6000\mu_r = 6001 \approx 6000
Magnetizing field, H=2000 A/mH = 2000\ \text{A/m}
Permeability of free space, μ0=4π×10−7 T⋅m/A\mu_0 = 4\pi \times 10^{-7}\ \text{T}\cdot\text{m/A}

Substituting the given values into the formula:

B=(4π×10−7)×6000×2000B = (4\pi \times 10^{-7}) \times 6000 \times 2000

B=4π×10−7×12×106B = 4\pi \times 10^{-7} \times 12 \times 10^6

B=48π×10−1B = 48\pi \times 10^{-1}

B=4.8π TB = 4.8\pi\ \text{T}

Answer: 4.8π T4.8\pi\ T
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