1.

When the upper tip of a magnetic dip needle is loaded with a small mass, the dip is found to drop from 45^@ to 30^@If the total magnetic intensity at the place is 0.42 oersted and the pole strength of the magnetic needle is 200 CGS units, what is the mass attached?

Answer»

Solution :As shown in fig., on loading the upper end of the needle for its rotational, equilibrium,
`vecrxxvacF+vacMxxvacB=0`
`i.e.,MgxxLcos30^(@)=mxx2LxxBsin(45^@-30^@)`
i.e.,`M=2mBsin15^(@)/gcos30^(@)`
Substituting the current data,
`M=2xx200xx0.42xx9.2588/980xx(SQRT(3)//2) = 0.051 g`


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