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Two short magnets of magnetic moments 0.8 A-m² and 2.7 A-m² are placed along the same straight line with their like poles towards each other. The distance between their centres is 40 cm. The distance of the zero induction point on their common axial line from the centre of the weaker magnet is

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24cm between the magnets and 120cm out side the magnets

16cm between the magnets and 80cm out side the magnets

20cm between the magnets 60cm outside the magnets

zero induction is not possible

answer is A.

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Detailed Solution

Between the magnets

$x = \frac{d}{\sqrt[3]{\frac{M_{2}}{M_{1}}} + 1} = \frac{40}{\sqrt[3]{\frac{2.7}{0.8}} + 1} = 16 cm$

outside the magnets

$x = \frac{d}{\sqrt[3]{\frac{M_{2}}{M_{1}}} - 1} = \frac{40}{\sqrt[3]{\frac{2.7}{0.8}} - 1} = 80 cm$

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