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the electron in a hydrogen atom undergoes a transition from the 3rd excited stat

ID: 1473032 • Letter: T

Question

the electron in a hydrogen atom undergoes a transition from the 3rd excited state (n=4) to the ground state (n=1). how much energy, in eV, will be given off by the electron? use three significant figures. this is a transition in the Lyman series, which involves transitions between n=1 and higher states. the electron in a hydrogen atom undergoes a transition from the 3rd excited state (n=4) to the ground state (n=1). how much energy, in eV, will be given off by the electron? use three significant figures. this is a transition in the Lyman series, which involves transitions between n=1 and higher states. the electron in a hydrogen atom undergoes a transition from the 3rd excited state (n=4) to the ground state (n=1). how much energy, in eV, will be given off by the electron? use three significant figures. this is a transition in the Lyman series, which involves transitions between n=1 and higher states.

Explanation / Answer

the energy of an electron on nth shell is given by En = -13.6 /n2   ev

  energy in 3rd excited state (n=4) is given by = E4= -13.6/ 42   = -0.85 ev

energy in ground state is given by E1= -13.6/ 12 = -13.6 ev

so energy given off by the electron= E1- E4 =   - -0.85- (-13.6)

= 12.75 ev