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The periodic times of oscillation of a d...

The periodic times of oscillation of a dip needle in two perpendicular vertical planes are `t_(1)` and `t_(2)` respectively. If the periodic time of the same needle in the magnetic meridian is t, showthat
`(1)/(t_(1)^(4))+(1)/(t_(2)^(4))=(1)/(t_(4))(1+sin^(2)delta )`
where `delta` is the angle of dip.

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