Modern Physics
Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 4, Problem 29P

(a)

To determine

The recoil speed of the atom as it emits of the photon.

(b)

To determine

The percentage of energy carried by the recoiling deuterium atom.

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Consider the electron of a Li2+ ion that undergoes a transition from a higher energy state n to its adjacent lower energy state n – 1 (e.g. n = 2→1, 3→2, 4→3, etc) and emits a photon. Suppose the emitted photon is used to strike the surface of potassium, which has a threshold frequency of 5.464 × 10^14 s–1.a) Whatisthemaximuminitialquantumnumber,n, that is required in order to emit a photon with high enough energy to generate a photocurrent from the metal surface?b) Usingthenvaluesolvedinpart(a), calculate the maximum speed of the photoelectron from potassium. If you couldn’t solve for n in part (a), use n = 3.
In the Balmer series, for the Hydrogen atom, a weak transition is observed at 397nm. the value of the same transition for the Li2+ ion would correspond to an energy value of: a) 28.1 eV, b) 122.4 eV, c) 2.5 eV, d) 13.3eV, e) 119.9 eV
For a hydrogen atom, the transition to a state of excitation energy (10.19 eV) emits a photon of wavelength 4890 A. Estimate the binding energy of the initial state.
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