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JEE Main202528 Jan 2025Evening ShiftPhysicsMagnetic Properties of MatterActual

A bar magnet has total length 2 l=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 :

Options

  1. A4 %
  2. B15 %
  3. C5 %
  4. D10 %

Correct answer

A. 4 %

Step-by-step solution

Magnetic field at P, B= ₀ 4 m(2 l) r^3 , where m is the pole strength aligned ( B B 100 ) & = ( l l ) 100+3 | r r | 100 & =1 %+3 %=4 % aligned

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