A bar magnet suspended by a horse's hair lies in the magnetic meridian where there is no twist in the hair, on turning the upper end of the hair through $$150^{\circ}$$, the magnet is deflected through $$30^{\circ}$$ from the meridian. Then the angle through which upper end of the hair has to be twisted to deflect the magnet through $$90^{\circ}$$ from the meridian is

A bar magnet of pole strength $$10 \mathrm{~Am}$$ is cut into two equal parts breadthwise. The pole strength of each magnet is

The horizontal and vertical components of earth's magnetic field at a place are $$0.3 \mathrm{G}$$ and $$0.52 \mathrm{G}$$. The earth's magnetic field and the angle of dip are