If one of the two electrons of a `H_2` molecule is removed, we get a hydrogen molecular ion `H_2^+` . In the ground state of an `H_2^+` , the two protons are separated by roughly `1.5 overset@A`. and the electron is roughly 1 A from each proton. Determine the potential energy of the system. Specify your choice of the zero of potential energy.

Five electrons have been removed from each atom to form ions. Find the electrostatic force between two such ions when separated by a distance of 2overset@A in a medium of dielectric Constant4.

Two point charges q_1 and q_2 are kept at a distance of r_(12) in air. Deduce the expression for the electrostatic potential energy of the system.

Two point charges 4Q and Q are separated by a distance of 1 m in air. Also calculate the electrostatic potential energy of the system of two charges, taking Q = 2 xx 10^-7C .

Two points charges q_1 = 10 xx 10^-8 c and q_2 = -2 xx 10^-8 C are separated by a distance of 60cm in air. Also calulate the electrostatic potential energy of the system.

An ionised H-molecule consists of an electron and two protons. The protons are seperated by a small distance of the order of angstrom. In the ground state.

In a hydrogen atom, the electron and proton are bound at a distance of about 0.53 A: (a) Estimate the potential energy of the system in eV, if the zero of potential energy is taken at 1.06 overset @A separation of the electron from proton? (b) What is the minimum work required to free the electron, given that its kinetic energy in the orbit is half the magnitude of potential energy obtained in (a)?

In a hydrogen atom, the electron and proton are bound at a distance of about 0.53 A. (a) Estimate the potential energy of the system in eV, taking the zero of the potential energy at infinite separation of the electron from proton. (b) What is the minimum work required to free the electron, given that its kinetic energy in the orbit is half the magnitude of potential energy obtained in (a)?

Estimate the mean free path and collision frequency of a nitrogen molecule in a cylinder containing nitrogen at 2.0 atm and temperature 17 ^@C . Take the radius of a nitrogen molecule to be roughly 1.0overset@ A . Compare the collision time with the time the molecule moves freely between two successive collisions (Molecular mass of N_2 = 28.0 u).