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Question

Magnetic lines of force always cross each other. Is the given statement true or false? Justify.

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Solution

The statement is false.
Magnetic lines of force never intersect each other. The direction of magnetic field at any point on the magnetic line of force is defined as the direction of tangent on the line drawn at that point.
If the lines intersect, on the point of intersection, we will find two tangents due to two different field lines. So, the magnetic field at that point will not be unique. And this is against the properties of magnetic lines of force.
So, the lines of force do not intersect each other.

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