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Question: The minimum energy that must be given to a H atom in ground state so that it can emit an H\(\gamma\)...

The minimum energy that must be given to a H atom in ground state so that it can emit an Hγ\gamma. line in Balmer series is

A

12.4 eV

B

10.2 eV

C

13.06 eV

D

13.6 eV

Answer

13.06 eV

Explanation

Solution

HγH_{\gamma} line in Balmer series corresponds to transition from n = 5 to n = 2 states. Hence the energy required for this purpose.

E=E5E1E = E_{5} - E_{1}

=13.652(13.612)= - \frac{13.6}{5^{2}} - \left( - \frac{13.6}{1^{2}} \right)

=0.54+13.6=13.06eV= - 0.54 + 13.6 = 13.06eV