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A charged particle goes undeflected in a...

A charged particle goes undeflected in a region containing electric and magnetic field. It is possible that
(i) `vec(E) || vec(B). vec(v) || vec(E)`
(ii) `vec(E)` is not parallel to `vec(B)`
(iii) `vec(v) || vec(B)` but `vec(E)` is not parallel to `vec(B)`
(iv) `vec(E)||vec(B)` but `vec(v)` is not parallel to `vec(E)`

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To solve the problem of a charged particle going undeflected in a region containing electric and magnetic fields, we need to analyze the conditions under which the net force acting on the particle is zero. The forces acting on a charged particle in electric and magnetic fields are given by: 1. **Electric Force**: \( \vec{F_E} = q \vec{E} \) 2. **Magnetic Force**: \( \vec{F_B} = q \vec{v} \times \vec{B} \) For the particle to go undeflected, the net force must be zero: \[ ...
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