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The percentage increase in magnetic field (B) when space within a current carrying solenoid is filled with magnesium (magnetic susceptibility χ_Mg = 1.2 × 10⁻⁵) is

Asked in JEE Main 7th April 1st Shift 2025 · Magnetisation, intensity and susceptibility

• (1) 5/6 × 10⁻⁴ %
• (2) 6/5 × 10⁻³ %
• (3) 5/6 × 10⁻⁵ %
• (4) 5/3 × 10⁻⁵ %

Step-by-step solution

Why the other options are wrong

• (1) Inverts χ and slips a power of ten.
• (3) Inverts χ and forgets the factor 100 for percent.
• (4) Doubles and inverts χ without reason.

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