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(a) In the Balmer series of emitted transitions in a one-electron atom, the electron jumps from other states to the first excited state. In doubly ionized lithium (atomic number = 3), what are the wavelengths of the longest and shortest members of the Balmer series? (b) The lifetime of the first excited state is about 10* s. Estimate the limit of precision with which it is possible to measure the energy of that state, and compare with the energy of the state.

(a) In the Balmer series of emitted transitions in a one-electron atom, the electron jumps from other states to the first excited state. In doubly ionized lithium (atomic number = 3), what are the wavelengths of the longest and shortest members of the Balmer series? (b) The lifetime of the first excited state is about 10* s. Estimate the limit of precision with which it is possible to measure the energy of that state, and compare with the energy of the state.

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Problem II (has two parts each with a,b questions) (a) In the Balmer series of emitted transitions in a one-electron atom, the electron jumps from other states to the first excited state. In doubly ionized lithium (atomic number = 3), what are the wavelengths of the longest and shortest members of the Balmer series? (b) The lifetime of the first excited state is about 10* s. Estimate the limit of precision with which it is possible to measure the energy of that state, and compare with the energy of the state. (a) An atom of singly ionized helium (atomic number = 2) is initially in its second excited state. It ends up in the ground state after two photons are emitted from the atom. Find the energies of the two photons. (b) How much energy is required to completely remove the electron when the He ion is in its ground state?
Transcribed Image Text:Problem II (has two parts each with a,b questions) (a) In the Balmer series of emitted transitions in a one-electron atom, the electron jumps from other states to the first excited state. In doubly ionized lithium (atomic number = 3), what are the wavelengths of the longest and shortest members of the Balmer series? (b) The lifetime of the first excited state is about 10* s. Estimate the limit of precision with which it is possible to measure the energy of that state, and compare with the energy of the state. (a) An atom of singly ionized helium (atomic number = 2) is initially in its second excited state. It ends up in the ground state after two photons are emitted from the atom. Find the energies of the two photons. (b) How much energy is required to completely remove the electron when the He ion is in its ground state?
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