Consider the hydrogen atom to be a proton embededded in a cavity of radius (Bohr radius) whose charge is neutralised by the addition of an electron to the cavity in a vacume innitially slowly .Extimate the average total energy of an electron in its ground state in a hydrogen atom as the work done in the above neutrallisation process .Also if the magnitude of teh average kinetic enerhy is half the magnitude of teh average potenrtial energy .Find teh average potential energy

The total energy of an electron in the ground state , of hydrogen atom is

Total energy of an electron in a ground state of hydrogen atom will be—

Consider the hydrogen atom to be a proton embededded in a cavity of radius (Bohr radius) whose charge is neutralised by the addition of an electron to the cavity in a vacume innitially slowly .Extimate the average total energy of an electron in to ground state .Also if the magnitude iof the average kinetic energy is half of the magnitude of teh average energy ,find the average potential energy

Consider the hydrogen atom to be a proton embedded in acavity fo radius a_0 (Bohr 's radius ) , whos echarge ius neutralized by the addition of an elerctron to the cavity in vacuum , infinitiely slowly. (a) Estimate the average of total energy of an elerctron in its ground state in a hydrogen atom as the work done in the above neutralization process , Also , If the halt the magnitude fo the averge potential enrgy find the average potential nergy . (b) Also derve the wavelength of the elertron when it is a_0 from the proton . How does this compare with the wavelength of an elerctron in the ground statBohr's orbit ?

Consider the hydrogen atom to be a proton embededded in a cavity of radius (Bohr radius) whose charge is neutralised by the addition of an electron to the cavity in a vacuum initially slowly .Estimate the average total energy of an electron in to ground state .Also if the magnitude of the average kinetic energy is half of the magnitude of the average energy ,find the average potential energy

Calculate the energy of the electron in the ground state of the hydrogen atom.

The total energy (E) of the electron is an orbit of radius r in hydrogen atom is

The total energy (E) of the electron is an orbit of radius r in hydrogen atom is

The radius of the orbit of an electron in the ground state of hydrogen atom is a_0 . Then