Two bar magnets of different lengths produce magnetic field induction of same magnitude at points on the axial line, at the same distance in each case. Then

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Magnetic moment is same for both magnets

We cannot decide which has more magnet moment

Magnetic moment is more for short magnet

Magnetic moment is more for longer magnet

answer is B.

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Detailed Solution

Magnetic field on the axial line of a bar magnet is given by

$B = \frac{μ_{0}}{4 π} \frac{2 M d}{{(d^{2} - l^{2})}^{2}} i f t w o m a g n e t s p r o d u c e s a m e m a g n e t i c f i e l d \frac{M_{1}}{M_{2}} = \frac{{(d^{2} - {l_{1}}^{2})}^{2}}{{(d^{2} - l_{2}^{2})}^{2}} i f l_{1} > l_{2} t h e n M_{1} < M_{2}$

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