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A magnetic needle having magnetic moment...

A magnetic needle having magnetic moment `10 A m^2` and length 2.0 cm is clamped at its centre in such a way that it can rotate in the vertical east-west plane. A horizontal force towards east is applied at the north pole to keep the needle fixed at an angle of `30^0` with the vertical. Find the magnitude of the applied force. The vertical component of the earth's magnetic field is `40 muT`.

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