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WBJEEA charged particle is introduced at the origin x=0, y=0, z=0 with a given initial...
A charged particle is introduced at the origin x=0, y=0, z=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 a uniform magnetic field →B are given in the columns below
In which case would the particle move in a straight line along the negative direction of y axis
| Column 1 | Column 2 | Column 3 |
| 1. Electron with →v=2E0B0ˆx | (i) →E=E0ˆz | (P) →B=-B0ˆx |
| 2. Electron with →v=2E0B0ˆy | (ii) →E=-E0ˆy | (Q) →B=B0ˆx |
| 3.Proton with →v =0 | (iii) →E=-E0ˆx | (R) →B=-B0ˆy |
| 4. Proton with →v=2E0B0ˆx | (iv) →E=E0ˆx | (S) →B=-B0ˆz |
Solution:
For particle to move in -ve y-direction, either its velocity must be in –ve y-direction (if initial velocity ≠0) and force should be parallel to velocity or it must experience a net force in –ve y-direction only (if initial velocity = 0)
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