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Question: A hydrogen atom (ionisation potential 13.6 eV) makes a transition from third excited state to first ...

A hydrogen atom (ionisation potential 13.6 eV) makes a transition from third excited state to first excited state. The energy of the photon emitted in the process is.

A

1.89 eV

B

2.55 eV

C

12.09 eV

D

12.75 eV

Answer

2.55 eV

Explanation

Solution

Energy released

=13.6[1(2)21(4)2]=2.55eV= 13.6\left\lbrack \frac{1}{(2)^{2}} - \frac{1}{(4)^{2}} \right\rbrack = 2.55eV.