Obtain a relation for total energy of the electron in terms of orbital

1.	Obtain a relation for total energy of the electron in terms of orbitalradius. Show that total energy is negativeenergy7.of K.E. and half of potential-e2
Answer» Normally if you have an electron beam and its moving with some velocity v then it will have a positive energy K. E. = P^2/ 2.m… if you say that you are taking the total energy of an electron as negative- it means that your electron is in a force field and bound to a system say an atom. In bound states the particle have total energy E = T + V = the kinetic energy + the potential energy ; the first term will always be positive but the potential can be negative or positive. In bound state as one needs extra energy to get the electron free from binding by the force—- the potential must be negative. If theV>>Tin that case the total energy is negative. e.g. in H-atom the ground state electron has total energy-13.6 eVand other excited states are moving towardszero energy value… therefore electron will always found in total energy state negative..otherwise if its free it can have only positive energy.

Obtain a relation for total energy of the electron in terms of orbitalradius. Show that total energy is negativeenergy7.of K.E. and half of potential-e2

Answer»

Normally if you have an electron beam and its moving with some velocity v then it will have a positive energy

K. E. = P^2/ 2.m…

if you say that you are taking the total energy of an electron as negative-

it means that your electron is in a force field and bound to a system say an atom.

In bound states the particle have total energy

E = T + V = the kinetic energy + the potential energy ;

the first term will always be positive but the potential can be negative or positive.

In bound state as one needs extra energy to get the electron free from binding by the force—- the potential must be negative.

If theV>>Tin that case the total energy is negative.

e.g. in H-atom the ground state electron has total energy-13.6 eVand other excited states are moving towardszero energy value…

therefore electron will always found in total energy state negative..otherwise if its free it can have only positive energy.