When a charged particle moving with velocity $\vec{v}$ is subjected to a magnetic field of induction…

When a charged particle moving with velocity $\vec{v}$ is subjected to a magnetic field of induction $\vec{B}$, the force on it is non-zero. This implies that:
  1. angle between is either zero or $180^{\circ}$
  2. angle between is necessarily $90^{\circ}$
  3. angle between can have any value other than $90^{\circ}$
  4. angle between can have any value other than zero and $180^{\circ}$

Solution

$\begin{aligned} \vec{F} & =q(\vec{V} \times \vec{B}) \\ & =q v B \sin \theta \end{aligned}$ Therefore when $\theta=0^{\circ}$ or $\theta=180^{\circ}$ $F=0$

Asked in: NEET 2006

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