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JEE Main 2025 (7 Apr, Shift 1) · Magnetisation: B, H, M, χ & μ

Magnetisation: B, H, M, χ & μ question from JEE Main 2025 (7 Apr, Shift 1)

Q18JEE Main 2025 · 7 APR · SHIFT 1Easy

Magnetisation: B, H, M, χ & μ

The percentage increase in magnetic field (B) when space within a current carrying solenoid is filled with magnesium (magnetic susceptibility χMg=1.2×10−5\chi_{\text{Mg}} = 1.2 \times 10^{-5}) is:

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Answer: (d)

  1. With the material, B′=μ0(1+χ)nIB' = \mu_0(1+\chi)nI, so B′−BB=χ\dfrac{B' - B}{B} = \chi.
  2. Percentage increase =χ×100=1.2×10−5×100=1.2×10−3%= \chi \times 100 = 1.2 \times 10^{-5} \times 100 = 1.2 \times 10^{-3}\%
  3. So the answer is (d) 65×10−3%\frac{6}{5} \times 10^{-3}\%.
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