First slide

Magnetism

Question

Two similar bar magnets ‘P’ and ‘Q’ each of magnetic moment ‘M’, are taken. If P is cut along its axis line and Q is cut along its equatorial line, all the four pieces obtained have,

Moderate

A

equal pole strength
B

magnetic moment = $\frac{M}{4}$
C

magnetic moment = $\frac{M}{2}$
D

magnetic moment = M

Solution

$I n c a s e o f P, d u e t o a x i a l c u t t i n g, p o l e s t r e n g t h b e c o m e s h a l f a n d l e n g t h r e m a i n s s a m e . m^{1} = \frac{m}{2}; L^{1} = L;$
$t h e r e f o r e, M^{1} = m^{1} L^{1} = \frac{m}{2} L = \frac{M}{2}$
$I n c a s e o f Q, d u e t o e q u a t o r i a l c u t t i n g, l e n g t h b e c o m e s h a l f a n d p o l e s t r e n g t h r e m a i n s s a m e .$
$m^{11} = m; L^{11} = \frac{L}{2};$
$t h e r e f o r e, M^{11} = m^{11} L^{11} = m \frac{L}{2} = \frac{M}{2}$

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