Answer :

When a charged particle enters a magnetic field it experiences a force known as Magnetic Lorentz Force which is given by:

Where is the force on the Charged particle having charge q,moving with a velocity in a magnetic Field

Note: , and are vector quantities, and charge q is a scalar quantity, and is the cross product or vector product of and , so resultant is perpendicular to plane containing and

if we evaluate the formula we get,

Where, and are magnitude of velocity and magnetic field respectively, θ is the angle between Velocity of particle and magnetic field and ŵ is a unit vector perpendicular to plane containing and

When angle between Velocity of particle and magnetic field is either or i.e. particle is either moving parallel or antiparallel to the field we can see force on the particle,

F = 0 N, since sinθ = 0 when θ is either 00 or 1800,

The particle came out of the magnetic field un-deflected, and with constant velocity i.e. it did not experience any force so we can say that particle was moving in same direction as that of magnetic field i.e. from East Towards West or in opposite direction from West towards East and magnitude of velocity can be any value.

The following figure depicts both the situations

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