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Two particles of charges +Q and -Q are p...

Two particles of charges `+Q` and `-Q` are projected from the same point with a velocity v in a region of unifrom magnetic filed `B` such that the velocity vector makes an angle 0 with the magnetic filed Their masses are `M` and `2M` respectively Then, they will meet again for the first time at a point whose distane from the point of projection is .

A

`2piMvcos0//qB`

B

`8piMvcos0//qB`

C

`piMvcos0//qB`

D

`4piMv cos 0//qB`

Text Solution

Verified by Experts

The correct Answer is:
D
`T_(1) = (2piM)/(qB) T_(2) = (2pi(2M))/(qB)impliesT_(2)=(4piM)/(qB)`
they will meet again when first will complete two revolution and second will complete one revoluation so direction
`d =v cos thetat = vcostheta.2 (2piM)/(qB) = (4piMvcostheta)/(qB)` .
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