Magnetic field due to currentHard

Question

Two particles of charges + Q and -Q are projected from the same point with a velocity v in a region of uniform magnetic field B such that the velocity vector makes an angle θ with the magnetic field. Their masses are M and 2M, respectively. Then, they will meet again for the first time at a point whose distance from the point of projection is

Options

A.
B.
C.
D.

Solution

T1 = = T0
T2 = = 2T0
They will meet at time 2T0.
∴ Distance  from origin = vcosθ × 2T0 =

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