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Energy Levels

A hydrogen - ...

Question

A hydrogen - like atoms has one electron revolving around a stationary nucleus. The energy required to excite the electron from the second orbit to the third orbit is 47.2 eV. The atomic number of the atom is:

A

3

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B

4

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C

5

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D

6

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Solution

The correct option is C 5
According to the question, $47.2 = 13.6 Z^{2} (\frac{1}{2^{2}} - \frac{1}{3^{2}})$
Solving we get $z = 5$ .

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