Show that energy stored in a charged condenser is directly proportional to square of its potential difference between the plates

Energy of a charged condenser is given by

Show that electric intensity at a point outside a charged sphere is inversely proportional to square of its distance from the centre of the sphere.

Show that energy of the electron is inversely proportional to the square of principal quantum number.

True or False. Kinetic energy is inversely proportional to the square of velocity.

Show that R.M.S. velocity of a gas molecule is directly proportional to the square roof of its absolute temperature. Show that average kinetic energy per unit volume of the gas is 3/2 P

What is the difference between work and energy?

Show that R.M.S. velocity of gas molecule is directly proportional to the square root of its absolute temperature.

Show that electric intensity at a point outside a charged cylinder is inversely proportional to its distance from the axis of the cylinder.

In which form is the energy stored in a charged capacitor?

If 15 J of work is done when a charge of 3 C is moved from one point to another, find the electric potential difference between the two points.