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Bohr's Model of Atom

The energy re...

Question

The energy required to transfer an electron from second Bohr's orbit to third Bohr's orbit in a hydrogen-like atom with nuclear charge $Z_{e}$ is $68. e V$ . The value of Z will be.

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 D 6
$68 = 13.6 \times Z^{2} (\frac{1}{2^{2}} - \frac{1}{3^{2}})$
$68 = 13.6 \times Z^{2} \times \frac{5}{36}$
$Z = 6$

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