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The I.E. of hydrogen atom is $13.6$ eV. The energy required to remove an electron from $n = 2$ state of the hydrogen atom is:
10.2 eV
13.6 eV
3.4 eV
11.2 eV

A

13.6 eV

B

11.2 eV

C

3.4 eV

D

10.2 eV

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Solution

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Given IE $= 13.6 e v$

$I . E = 13.6 \frac{z^{2}}{n^{2}} = 13.6 \times \frac{1}{4} = 3.4 e v .$

Hence, the correct option is $B$

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