First slide

The bar magnet

Question

Two magnets have their lengths in the ratio 2 : 3 and their pole strengths in the ratio 3 : 4. The ratio of their magnetic moment is

Moderate

A

2 : 1
B

4 : 1
C

1 : 2
D

1 : 4

Solution

$\begin{array}{rcl} M & = & m (2 l); \\ \frac{M_{1}}{M_{2}} & = & \frac{m_{1}}{m_{2}} \frac{2 l_{1}}{2 l_{2}} = \frac{3}{4} x \frac{2}{3} = \frac{1}{2} = 1 : 2 \end{array}$

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