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Two points A and B are located at distances 20cm and 30cm from the center of a short bar magnet on its axial line. The ratio of magnetic induction at A and B is

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2 : 3

3 : 2

9 : 4

27 : 8

answer is D.

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Detailed Solution

$\begin{array}{l} B α \frac{1}{r^{3}} \\ \Rightarrow \frac{B_{1}}{B_{2}} = {(\frac{r_{2}}{r_{1}})}^{3} \\ {(\frac{30}{20})}^{3} = 27 : 8 \end{array}$

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