Calculate the wavelength of the em wave required to ionize a hydrogen atom (i.e., remove the electron in the ground state so that H-atom becomes H+ion). Determine the frequency of this em wave. In which region of the electromagnetic spectrum does this em wave lie?

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Calculate the wavelength of the em wave required to ionize a hydrogen atom (i.e., remove the electron in the ground state so that H-atom becomes H+ion). Determine the frequency of this em wave. In which region of the electromagnetic spectrum does this em wave lie?

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Principle quantum number for hydrogen atom is one. When hydrogen atom goes under ionization, the electron in it's orbit goes to higher orbits and it becomes H+ ion. To calculate wavelength of em wave required to remove the electron from hydrogen atom is calculated by Rydberg's equation:- 

                                                     1λ=R(1n12-1n22)

Here, electron is remove from first orbit, hence n1=1 and it goes to higher orbit n2=.

Thus, the  Rydberg's equation for wavelength becomes 

                                                    1λ=R112-121λ=Rλ=1R

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