A charged particle moves in a gravity-free space without the change in velocity. Which of the following is not possible in that space?
A charged particle (electron or proton) is introduced at the origin (x=0,y=0,x=0) with a given initial velocity →v. A uniform electric field →E and a uniform magnetic field →B exist everywhere. The velocity →v, electric field →E and magnetic field →B are given in column 1,2 and 3, respectively. The quantities E0, B0 are positive in magnitude.
Column 1
Column 2
Column 3
(I) Electron with →v=2E0B0^x
(i) →E=E0^z
(P) →B=−B0^x
(II) Electron with →v=E0B0^y
(ii) →E=−E0^y
(Q) →B=−B0^x
(III) Electron with →v=0
(iii) →E=−E0^x
(R) →B=B0^y
(IV) Electron with →v=2E0B0^x
(iv) →E=E0^x
(S) →B=B0^z
In which case will the particle move in a straight line with constant velocity?