Question

A particle of mass $M$ and charge $Q$ moving with velocity $\overrightarrow{V}$ describes a circular path of radius $R$ when subjected to a uniform transverse magnetic field of induction B. The work done by the field when the particle completes one full circle is

• A. $(\frac{M{v}^2}{R})2\pi R$
• B. zero
• C. $B2\pi R$
• D. $Bv2\pi R$

Answer 1

The correct option is B zero

Since the particle completes one full circle, therefore displacement of particle $=0$ Work done $=$ force $\times$ displacement $=0$