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A short bar magnet of magnetic moment 2Am^(2) and moment of inertia 6xx10^(2)kgm^(2) is freely suspended such that the magetic axial line is in the direction of magnetic meridian. If the magnet is displaced by a very small angle (3^(0)) ,the angular acceleration is -x10^(-6)rad//sec^(2) (Magnetic induction of earth's horizontal field =4xx10^(-4)T ).

Simplify and express sec^(4) alpha- tan^(4) alpha in their least exponents.

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