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A uniform electric field,underset(E)to=E...

A uniform electric field,`underset(E)to=E_(0)hati` and a uniform magnetic field,`underset(B)to=B_(0)hati` exist in region `y gt 0. A` particle hav- ing positive charge q and mass m is projected from the origin with a velocity `underset(V)to=V_(0)hati+V_(0)hatJ.` The velocity of the particle when it leaves the region of fields was found to be `-underset(V)to.`
(i) Find the ratio `(E_(0))/(B_(0))` in terms of v0.
(ii) Find the co-ordinates of the point where the particle leaves the fields.
(iii) Find the minimum speed of the particle during the course of the motion.

Text Solution

Verified by Experts

The correct Answer is:
`(i) E_(0)/B_(0)=(2v_(0))/(pi)" "(ii)(0,0,(2mv_(0))/(qB_(0)))`
(iii) v_(min = v_(0)`
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