Question

The tracks of three charged particles in a uniform electrostatic field as shown in the figure. Which particle has the highest charge to mass ratio?

• A. A
• B. B
• C. C
• D. A and B

Answer 1

Answer: (C)

C

Answer 2

: Particles A and B have negative charges because they are being defected towards the positive plate of the electrostatic field. Particle C has positive charge because it is being deflected towards the negative plate

$\therefore$deflection of charged particle in time t in y – direction

$h = 0 \times t + \frac{1}{2}at^{2} = \frac{1}{2}\frac{qE}{m}t^{2}$

i.e., h $\propto$q/m

As the particle C suffers maximum deflection in Y – direction, so it has highest charge to mass q/m ratio.