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Relate KE, PE and TE (total energy) of a...

Relate KE, PE and TE (total energy) of an electron of hydrogenic atoms.

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(i) Potential Energy = 2 times the total energy.
(ii) Kinetic Energy of an electron = -TE
where , total energy is negative and E `=-(Z^(2)me^(4))/(8epsilon _(0)^(2)n^(2)h^(2))`
For `H_(2)` atom , Z=1
For `H_(2)` like atoms , charge on the nucleus `=+ZE`
Kinetic energy `=-1/2m ((Ze^(2))/(2epsilon_(0)nh))` and velocity of an electron in the orbit , `v=(Ze^(2))/(2epsilon_(0)nh)`
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