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Question

The ground state energy of hydrogen atom is 13.6 eV.
(i) What is the kinetic energy of an electron in the 2nd excited state?

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Solution

2nd excited state means 3rd normal state or n=3 state

total energy of nthlevel is En=E0/n2 ,
given that E0=13.6eV
So total energy for 3rd state will be E3=13.6/9=1.51eV
We know that total energy=-kinetic energy so kinetic energy=-(-1.51eV)=1.51eV.

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