Question

what happens to the force between magnetic poles when their pole strength and the distance between them are both doubled ​

Answer 1

The Force remains unchanged

Explanation:

The force between two magnetic poles is directly proportional to the product of their strengths and is inversely proportional to the square of the distance between them.

Hence the new force   $F_2$  will be given by

$\frac{F_2}{F_1}= \frac{\left ( \frac{m_A_2\times m_B_2}{d_2^2} \right )}{\frac{m_A_1\times m_B_1}{d_1^2} \right )}\\\\=\frac{\left ( \frac{2m_A_1\times 2 m_B_1}{4d_1^2} \right )}{\frac{m_A_1\times m_B_1}{d_1^2} \right )}\\\\F_1=F_2$

hence , The Force remains unchanged

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