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here, the first particle is projected into the magnetic field with an angle 'y' with the field. so its path will be helical. and the 2nd particle is projected along the field direction. the 2nd particle will meet the 1st one, after travelling a distance which is equal to the pitch of the helix traced by the 1st particle.
let v1 be the speed of the 1st particle.
the kinetic energy gained by the 1st particle = qV.
from this we can find v1 .
the 2nd particle must have a velocity which equal to that of 1st particle in the field direction. i.e.
v2 = v1 cos y.
the distance to be travelled = pitch
time taken = time period of revolution of the helix.
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