Rankers Physics

Magnetic Properties of Matter: Practice Problem & Solution

4. A bar magnet of magnetic moment $M$ is cut into two parts of equal length. The magnetic moment of each part will be (1997)
$M$
$2M$
Zero
$0.5 M$

Solution Explained:

To solve this problem, we apply the core principles of Magnetic Properties of Matter. Understanding the underlying formula is key to arriving at the correct answer below:

When a bar magnet is cut into two equal parts perpendicular to its length, the length of each piece becomes $L/2$ while the pole strength $m$ remains unchanged.
New magnetic moment $M' = m \times (L/2) = M/2 = 0.5M$.

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