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As told, an electron has more negative energies in higher orbits, which means it has higher value of kinetic energy. But at the same time i m told that the electron has lower velocity in higher orbits. Bt velocity is directly proportional to kinetic energy, how is this possible. Plz answer soon....

As told, an electron has more negative energies in higher orbits, which means it has higher value of kinetic energy. But at the same time i m told that the electron has lower velocity in higher orbits. Bt velocity is directly proportional to kinetic energy, how is this possible. Plz answer soon....

Grade:

1 Answers

Swapnil Saxena
102 Points
9 years ago

hi Rishel,

The answer can be found by having a look at the potential and kinetic energies of the electron.

Potential energy of the electon : (Taking Potential Energy of an electron to be arbitarily 0 at infinity) , The amount of energy change in  taking the electron from infinity to the particular orbit is its potential energy.

Since The work is being in direction of the attractive columbic forces of the nucleus , Energy is always released and using thermodynamic convention, it becomes negative as there is a net decreses in the energy of the system.

As we approch closer and closer to the nucleus more and more energy is released and the energy becomes more negative.

Note : It also means that the energies needs to be suplied to the  electorns  in lower orbits to jump to the higher orbits higher orbits .

Kinetic Energies ==> As we approach closer to the nucleus , Velocity of the system is incresed due to incresed columbic forces of nucleus . As such Kinetic Energies are too increased .

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