The bar magnet

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Question

A bar magnet of length 3cm has points A and B along its axis at distances of 24cm and 48cm on the opposite sides. Ratio of magnetic fields at these points will be

Easy

Solution

Both points A and B are lying on the axis of the magnet and on axial position.
$B \propto \frac{1}{d^{3}} \Rightarrow \frac{B_{A}}{B_{B}} = {(\frac{d_{B}}{d_{A}})}^{3} = {(\frac{48}{24})}^{3} = \frac{8}{1}$

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