A toy car with charge ${\rm{q}}$ moves on a frictionless horizontal plane surface under the influence of a uniform electric field $\overrightarrow {\rm{E}}$ . Due to the force ${\rm{q}}$, $\overrightarrow {\rm{E}}$ its velocity increases from ${\rm{0}}\,\,{\rm{to}}\,\,{\rm{6 m}}\,{\rm{/}}\,{\rm{s}}$ in one second duration. At that instant the direction of the filed is reversed. The care continues to move for two more seconds under the influence of this field,The average velocity and the average speed of the toy car between ${\rm{0}}\,\,{\rm{to}}\,\,{\rm{3}}$ seconds are respectively

An electron falls from rest through a vertical distance $h$ in a uniform and vertically upward directed electric field $E$. Keeping the magnitude of the electric field same, a proton is allowed to fall from rest through the same vertical distance $h$. The time of fall of the electron, in comparison to the time of fall of the proton is:

An electron is projected horizontally into a uniform electric field directed vertically downwards. Which of the following best describes the trajectory of the electron?

The intensity of the electric field required to keep a water drop of radius ${10^{ - 5}}cm$ just suspended in air when charged with one electron approximately

$\left( {g = 10\;newton/kg,e = 1.6 imes {{10}^{ - 19}}\;coulomb} \right)$

A proton and an alpha particle are projected with the same kinetic energy into a uniform electric field perpendicular to their initial velocities. The ratio of the radii of their parabolic paths will be:

Force acting upon a charged particle kept between the plates of a charged condenser is $F.$ If one plate of the condenser is removed, then the force acting on the same particle will become

Two identical charged spheres with mass $0.1$ kg are suspended from a common point by strings of length $1$ m. They are initially $0.02$ m apart. If the charges leak at a constant rate such that the velocity of approach is $v$ when they are $x$ meters apart, which of the following best describes the relationship between $v$ and $x$?

A charged water drop whose radius is $0.1\;\mu m$ is in equilibrium in an electric field. If charge on it is equal to charge of an electron, then intensity of electric field will be $\left( {g = 10m{s^{ - 1}}} \right)$

A charged particle of mass $m$ and charge $q\;$ is released from rest in an electric field of constant magnitude $E$. The kinetic energy of the particle after time $t$ is

Charge ${q_2}$ of mass $m$ revolves around a stationary charge ${q_1}$ in a circular orbit of radius $r$ The orbital periodic time of ${q_2}$ would be

When a proton is accelerated through $1V,$ then its kinetic energy will be