A proton and an alpha particle, both initially at rest, are accelerated through the same potential difference $V$. If the proton acquires a velocity $v_p$, what is the velocity of the alpha particle?

An electron enters in high potential region ${V_2}$ from lower potential region ${V_1}$ then its velocity

A hollow conducting spherical shell of radius $R$ is charged with $Q$ coulomb. The amount of work done for moving any charge $q$ from the centre to the surface of the shell will be

A charged particle of mass $5 imes {10^{ - 5}}kg$ is held stationary in space by placing it in an electric field of strength ${10^7}N{C^{ - 1}}$ directed vertically downwards. The charge on the particle is

There is a uniform electric field of strength ${10^3}V/m$ along $y$-axis. A body of mass $1g$ and charge ${10^{ - 6}}C$ is projected into the field from origin along the positive $x$-axis with a velocity $10m/s.$ Its speed in $m/s$ after $10s$ is (Neglect gravitation)

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 particle A having a charge of $2 imes {10^6}C$ and a mass of $100\,\,g$ is placed at the bottom of a smooth inclined plane of inclination ${30^0}$. The distance of another particle of same mass and charge be placed on the incline So that it may remain in equilibrium is

Cathode rays travelling from east to west enter into region of electric field directed towards north to south in the plane of paper. The deflection of cathode rays is towards

A particle of mass $m$ and charge $q$ is placed at rest in a uniform electric field $E$ and then released. The kinetic energy attained by the particle after moving a distance $y$ is

The ratio of momenta of an electron and an $\alpha -$ particle which are accelerated from rest by a potential difference of $100volt$ is

A charged particle in a uniform electric field accelerates from $2 \, m/s$ to $8 \, m/s$ over $3 \, s$. The field direction then reverses. If the particle returns to its initial velocity after another $3 \, s$, what are the average velocity and speed over the $6 \, s$ period?