The figure shows the tracks of three charged particles in a uniform electrostatic field. Give the signs of the three charges. Which particle has the highest charge-to-mass ratio?

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) Opposite charges attract each other,and like charges repel each other.
It can be observed that particles $1$ and $2$ both move towards the positively charged plate and are repelled away from the negatively charged plate.
Hence,these two particles are negatively charged.
It can also be observed that particle $3$ moves towards the negatively charged plate and is repelled away from the positively charged plate.
Hence,particle $3$ is positively charged.
The deflection $y$ of a charged particle in a uniform electric field $E$ after traveling a horizontal distance $x$ is given by $y = \frac{qEx^2}{2mv^2}$,where $q$ is the charge,$m$ is the mass,and $v$ is the initial velocity.
For a given velocity and horizontal distance,the deflection $y$ is directly proportional to the charge-to-mass ratio $(q/m)$.
Since particle $3$ shows the maximum deflection,it has the highest charge-to-mass ratio.

Explore More

Similar Questions

$A$ simple pendulum of length $L$ is placed between the plates of a parallel plate capacitor having an electric field $E,$ as shown in the figure. Its bob has mass $m$ and charge $q.$ The time period of the pendulum is given by:

$A$ particle of mass $m$ and charge $q$ is thrown perpendicular to an electric field of intensity $E$ with an initial velocity $v$. The particle moves a distance $x$ perpendicular to the field and a distance $y$ along the direction of the field. If $y = \alpha x^{2}$,then $\alpha$ is given by:

$A$ particle,of mass $10^{-3} \ kg$ and charge $1.0 \ C$,is initially at rest. At time $t = 0$,the particle comes under the influence of an electric field $\vec{E}(t) = E_0 \sin(\omega t) \hat{i}$,where $E_0 = 1.0 \ N \ C^{-1}$ and $\omega = 10^3 \ rad \ s^{-1}$. Consider the effect of only the electrical force on the particle. Then the maximum speed,in $m \ s^{-1}$,attained by the particle at subsequent times is . . . . . .

Three particles are projected in a uniform electric field with the same velocity perpendicular to the field,as shown in the figure. Which particle has the highest charge-to-mass ratio?

An $\alpha$-particle is accelerated through a potential difference of $200\,V$. The increase in its kinetic energy is.......$eV$.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo