An electron enters a uniform electric field $E$ with an initial velocity $v_0$ perpendicular to the field. What is the trajectory of the electron?

A proton of mass $\left( m \right)$ charge $\left( e \right)$ is released from rest in a uniform electric field of strength $'E'.$ The time taken by it to travel a distance $'d'$ in the field is

An electron of mass “M” kg and charge “e” coulomb travels from rest through a potential difference of “V” volt. The final velocity of electron is (in m/s)

Two identical charged particles are projected into a uniform electric field. Particle A is projected at an angle $heta$ with the field, while particle B is projected perpendicular to the field. If both have the same initial kinetic energy, which particle will have a greater range along the direction of the field?

A proton enters a uniform electric field $E$ with velocity $v$ parallel to the field. What will be the path followed by the proton?

Under the influence of the Coulomb field of charge $+ Q,$ a charge $- q$ is moving around it in an elliptical orbit. Find out the correct statement(s)

Two identical thin rings each of radius $R$ meters are coaxially placed at a diatance $R$ meters apart. If ${Q_1}$ coulomb and ${Q_2}$ coulomb are respectively the charges uniformly spread on the two rings, the work done in moving a charge $q$ from the centre of one ring to that of other is

A toy car experiences a constant acceleration in a straight line, changing its velocity from $4 \, m/s$ to $10 \, m/s$ in $2 \, s$. At this point, the acceleration reverses direction, and the car's velocity returns to $4 \, m/s$ after another $2 \, s$. Determine the car's average speed and average velocity over these $4 \, s$.

Positive and negative point charges of equal magnitude are kept at

$\left( {0,0,\frac{a}{2}} \right){\rm{and}}\;\left( {0,0,\frac{{ - a}}{2}} \right)\;,\;$ respectively. The work done by the electric field when another positive point charge is moved from $\left( { - a,0,0} \right)\;to\;\left( {0,a,0} \right)$ is

Two identical charged spheres of mass $m$ and charge $q$ are suspended from the same point by insulating threads of length $L$. The spheres repel each other and come to equilibrium separated by a distance $d$. What is the magnitude of the charge $q$ on each sphere?

An oil drop having charge $2e$ is kept stationary between two parallel horizontal plates $2.0\;cm$ apart when a potential difference of 12000 volts is applied between them. If the density of oil is 900 $kg/{m^3},$ the radius of the drop will be