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Q.

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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a

Magnetic moment is same for both magnets

b

We cannot decide which has more magnet moment

c

Magnetic moment is more for short magnet

d

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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