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PhysicsMediumMCQ2025 · 28 Jan Shift 2

Q26. A bar magnet has total length 2l = 20 units and the field point P is at a distance d = 10 units from the centre of the magnet. If the relative uncertainty of length measurement is 1% , then uncertainty of the magnetic field at point P is : (1) 4% (2) 15% (3) 5% (4) 10%

What This Question Tests

This question combines the formula for the magnetic field on the axial line of a bar magnet with the concept of error propagation, specifically relative uncertainty calculations.

Concepts Tested

Magnetic field of a bar magnetError analysis/Uncertainty propagationRelative uncertainty

Formulas Used

B_axial = (μ₀/4π) * (2Md / (d^2 - l^2)^2)

ΔB/B = |∂B/∂l| * Δl / B

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