Q.

A charged particle of mass m and charge Q is projected from the origin of a three dimensional cartesian co-ordinate system. A uniform magnetic field B=B0j^ exists in that region. If velocity of projection is v=v0(i^+j^) The particle will pass through the y-axis for the first time at a distance 'd' from the origin, where d is equal to 

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a

2πmv0QB

b

QBV0B

c

2QBV0m

d

QBV02B

answer is A.

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Detailed Solution

The particle will follow a helical path, whose pitch is given by, p=2πmQBv0

d=2πmv0QB

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