Please provide the detailed solution.

Solution:- Magnetic moment of the bar magnet, M = 5.25 × 10−2 J T−1

Magnitude of earth’s magnetic field at a place, H = 0.42 G = 0.42 × 10−4 T

(a) The magnetic field at a distance R from the centre of the magnet on the normal bisector is given by the relation:

Where,

= Permeability of free space = 4π × 10−7 Tm A−1

When the resultant field is inclined at 45° with earth’s field, B = H

(b) The magnetic field at a distanced from the centre of the magnet on its axis is given as:

The resultant field is inclined at 45° with earth’s field.

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