A 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 with a given initial velocity . A uniform electric field and a uniform magnetic field exist everywhere. The velocity , electric field and a uniform magnetic field are given in the columns below
In which case will the particle describe a helical path with axis along positive z direction?
| Column 1 | Column 2 | Column 3 |
| 1. Electron with | (i) | (P) |
| 2. Electron with | (ii) | (Q) |
| 3.Proton with =0 | (iii) | (R) |
| 4. Proton with | (iv) | (S) |
Solution:
For path to be helix with axis along +ve z-direction, particle should experience a centripetal acceleration in x-y plane.
For the given set of options only option satisfy the condition. Path is helical with increasing pitch.
















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