The Lyman series for a (new!?) one-electron atom is observed in a distant galaxy

Question

The Lyman series for a (new!?) one-electron atom is observed in a distant galaxy. The wavelengths of the first four lines and the short-wavelength limit of this Lyman series are given by the energy level diagram in Figure P28.47. Based on this information, calculate (a) the energies of the ground state and first four excited states for this oneelectron atom.

A) What is the energy of the ground state?

B) What is the energy of the first excited state?

C)What is the energy of the second excited state?

D)What is the energy of the third excited state?

E)What is the energy of the fourth excited state?

F)Calculate the longest-wavelength (alpha) lines in the Balmer series for this atom.

The Lyman series for a (new!?) one-electron atom is observed in a distant galaxy. The wavelengths of the first four lines and the short-wavelength limit of this Lyman series are given by the energy level diagram in Figure P28.47. Based on this information, calculate (a) the energies of the ground state and first four excited states for this one electron atom. What is the energy of the ground state? What is the energy of the first excited state? What is the energy of the second excited state? What is the energy of the third excited state? What is the energy of the fourth excited state? Calculate the longest-wavelength (alpha) lines in the Balmer series for this atom.

Explanation / Answer

1) 1240/152 = -8.15 ev

2) 8.15 - 1240/202.6 = -2.03 ev

3)8.15 - 1240/170.9 = -0.894 ev

4)8.15 - 1240/162.1 =-0.50 ev

5)8.15 - 1240/158.3 = -0.31 ev

6) 1240/(2.03-0.89) = 1087.7 nm = 10877 A

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