Question

An uncharged particle is moving with a velocity of $\overrightarrow{v}$ in non-uniform magnetic field as shown. Velocity $\overrightarrow{v}$ would be:

• A. maximum at $A$ and $B$
• B. minimum at $A$ and $B$
• C. maximum at $M$
• D. same at all points

Answer 1

Answer: (D)

same at all points

Magnetic force $\overrightarrow{F_m}=q(\overrightarrow{v}\times \overrightarrow{B})$

The particle being uncharged, $q=0$.

So, magnetic force on the particle, $\overrightarrow{F_m}=\overrightarrow{0}$

Since there is no external force acting on the particle, its velocity $\overrightarrow{v}$ will be same at all points.