Physics for Scientists and Engineers
Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 34, Problem 71P

(a)

To determine

The proof that (E n+1En)En2n .

(b)

To determine

The approximate percent energy change.

(c)

To determine

The comment for relation of result with Bohr’s correspondence principle.

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(a) Using de-Broglie’s hypothesis, explain with the help of a suitable diagram, Bohr’s second postulate of quantization of energy levels in a hydrogen atom. (b) The ground state energy of hydrogen atom is -13.6 eV. What are the kinetic and potential energies of the state?
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(a) Predict the energy in eV of a photon emitted in a transition from the first excited state to the ground state in eV for a system consisting of a nucleus containing Z = 50 protons and just one electron. You need not recapitulate the entire derivation for the Bohr model, but think carefully about the changes you have to make to take into account the factor Z. (b) The negative muon (μ−) behaves like a heavy electron, with the same charge as the electron but with a mass 207 times as large as the electron mass. As a moving μ− comes to rest in matter, it tends to knock electrons out of atoms and settle down onto a nucleus to form a "one-muon" atom. For a system consisting of a nucleus of platinum (Pt195 with 78 protons and 117 neutrons) and just one negative muon, predict the energy in eV of a photon emitted in a transition from the first excited state to the ground state. The high-energy photons emitted by transitions between energy levels in such "muonic atoms" are easily observed in…
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