3. Consider the ion Bt (treat it as a hydrogen-like, one-electron atom within the Bohr model having 5 protons and 6 neutrons). (a) What is the ground state energy of the B+ ion? (b) What is the wavelength of a photon that can excite B+ to the n 3 state? (c) In the absence of any external field, What is the longest wavelength that the excited ion might emit?

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3. Consider the ion B+ (treat it as a hydrogen-like, one-electron atom within the Bohr model having 5 protons and
6 neutrons).
(a) What is the ground state energy of the B+ ion?
(b) What is the wavelength of a photon that can excite B+ to the n= 3 state?
(c) In the absence of any external field, What is the longest wavelength that the excited ion might emit?
(d) If a strong magnetic field is applied while the atom is in its n = 3 state, what is the shortest wavelength of a
photon that the atom can emit as its electron transitions from the 3d (I-2) to the 2p(l-1) orbital. Ignore spin
contributions if you wish.
Transcribed Image Text:3. Consider the ion B+ (treat it as a hydrogen-like, one-electron atom within the Bohr model having 5 protons and 6 neutrons). (a) What is the ground state energy of the B+ ion? (b) What is the wavelength of a photon that can excite B+ to the n= 3 state? (c) In the absence of any external field, What is the longest wavelength that the excited ion might emit? (d) If a strong magnetic field is applied while the atom is in its n = 3 state, what is the shortest wavelength of a photon that the atom can emit as its electron transitions from the 3d (I-2) to the 2p(l-1) orbital. Ignore spin contributions if you wish.
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