Q. A charge of magnitude3e and mass 2m is moving in an electric field E. The acceleration imparted to the charge is

A) 2 $Ee/3m$
B) $3\ Ee/2m$
C) $2\ m/3Ee$
D) $3\ m/2Ee$
Explanation

(b) Electric force (F) is straight forwarded, given by
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ F = qE$
[image:11_image41.emf]
Where, q is charge and E is electric field.
Given, $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ q = 3e$
$\therefore$ F=3e$E\ \ \ \ \ \ \ $…(i)
From Newton’s law, force experienced by a particle of mass 2m witn acceleration $a$ is
$F = 2ma\ldots.(ii)\ $
Equating Eqs. (i) and (ii) we get
$3eE = 2ma$
$\Rightarrow \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ a = \frac{3eE}{2m}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.