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Energy Levels

Calculate the...

Question

Calculate the energy released when an electron makes transition from an excited energy level to the ground state of the hydrogen like atom. Given that ionization energy and ground state energy are 25 eV and -16 eV respectively.

A

9 eV

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B

11 eV

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C

16 eV

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D

25 eV

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E

41 eV

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Solution

The correct option is E 41 eV
Energy of electron in excited state= $25 e V$
Energy of electron in ground state= $- 16 e V$
The energy released would be the difference in the initial and final energy level
$= 25 e V - (- 16 e V)$
$= 41 e V$

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