Answer :

Consider helium atom,

centripetal force on the electron due to nucleus=


Electrostatic force on electron due to nucleus=


Now centripetal force allows the electron to revolve in the orbit, thus balancing the forces,




---(1),


where z = atomic number of atom


m is mass of electron


v is the velocity of the electron on nth orbit


in permittivity in vacuum


And r is the Bohr radius


Now from orbital angular momentum equation for nth orbit,



-(2)


Kinetic energy of electron in the nth orbit =


Potential energy of the electron in the nth orbit =


Now total energy,



Putting 1 in above equation, we get



For helium atom Z=2



ground state energy for helium atom is 54.4Ev


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