The total energy of in the electron in the hydrogen atom in the ground state is −13.6eV. Which of the following is its kinetic energy in the first exited state?
A
13.6eV
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B
6.8eV
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C
3.4eV
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D
1.825eV
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Solution
The correct option is B3.4eV Energy nth orbit of hydrogen atom is given by,
En=−13.6n2e.V
For ground state, n=1
∴El=−13.6l2=−13.6eV
for first excited state, n=2
∴E2=−136.622=−136.64=−3.4eV
Kinetic energy of an electron in the first excited state is,