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JIPMER 2014
Exam
JIPMER
Year
2014
Subject
Physics
Chapter
Magnetic Effects of Current

JIPMER 2014 · Physics · Magnetic Effects of Current

A particle of mass M and charge Q moving with velocity v describes...

A particle of mass MM and charge QQ moving with velocity v\mathbf{v} describes a circular path of radius RR when subjected to a uniform transverse magnetic field of induction BB. The work done by the field, when the particle completes one full circle, is

Options

  1. A(M2R)2πR\left(\frac{M^2}{R}\right) 2 \pi R
  2. Bzero
  3. CBQ2πRB Q 2 \pi R
  4. DBQ∨2πRB Q \vee 2 \pi R

Correct answer

B. zero

Step-by-step solution

When particle describes circular path in a magnetic field, its velocity is always perpendicular to the magnetic force? Power P=F⋅v=F∨co⁡θ=90∘P=0\begin{aligned} P=\mathbf{F} \cdot \mathbf{v} & =F \vee \operatorname{co} \\ \theta & =90^{\circ} \\ P & =0 \end{aligned} Hence,But P=F⋅v=F∨cos⁡θθ=90∘=0=Wt⇒W=P⋅t\begin{aligned}P=\mathbf{F} \cdot \mathbf{v} & =F \vee \cos \theta \theta & =90^{\circ} \P & =0 \P & =\frac{W}{t} \Rightarrow W=P \cdot t\end{aligned} Hence, work done W=0W=0 (everywhere)
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