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Physics Atomic and Nuclear Physics Mix MCQ (Single Correct)

The total energy of electron in the ground state of hydrogen atom is –13.6 eV. The kinetic energy of an electron in the first excited state is:

A
3.4 eV
B
6.8 eV
C
13.6 eV
D
1.7 eV

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Verified by Experts
The correct answer is:
A

Total energy of electron in the orbit is equal to negative of its kinetic energy.

The energy of hydrogen atom when the electron revolves in nth orbit is

E = eV

In the ground stage; n = 1

E = = – 13.6 eV

For n = 2, E = = – 3.4 eV

So, kinetic energy of electron in the first excited state (i. e., for n = 2) is

K = – E – (–3.4) = 3.4eV

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