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Question

The total energy of in the electron in the hydrogen atom in the ground state is 13.6 eV. Which of the following is its kinetic energy in the first exited state?

A
13.6 eV
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B
6.8 eV
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C
3.4 eV
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D
1.825 eV
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Solution

The correct option is B 3.4 eV
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,

K.E=E2

K.E=3.4eV

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