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- in
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.
1 Answers
Correct Answer - `(i) E_(0)/B_(0)=(2v_(0))/(pi)" "(ii)(0,0,(2mv_(0))/(qB_(0)))`
(iii) v_(min = v_(0)`