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4 bar magnet, held horizontally, is set ...

4 bar magnet, held horizontally, is set into angular oscillations in the Earth's magnetic field. It has time periods `T_(1)` and `T_(2)` at two places, where the angles of dip are `theta_(1)` and `theta_(2)` respectively. Deduce an expression for the ratio of the resultant magnetic fields at the two places.

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