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Q. A charged particle enters in a magnetic field $H$ with its initial velocity making an angle of $45^{\circ}$ with $H$. The path of the particle will be

BHUBHU 2010Moving Charges and Magnetism

Solution:

The component of velocity perpendicular to $H$ will make the motion circular while that parallel to $H$ will make it move along a straight line. The two together will make the motion helical.