Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337671729
Author: SERWAY
Publisher: Cengage
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Question
Chapter 41, Problem 7P
(a)
To determine
The energy of transition corresponding to photon of longest wavelength.
(b)
To determine
The emitted wavelength.
(c)
To determine
The energy of photon corresponds to the spectral line of shortest wavelength in Balmer series.
(d)
To determine
The wavelength of photon corresponds to the spectral line of shortest wavelength in Balmer series.
(e)
To determine
The shortest possible wavelength in Balmer series.
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Question 9.
While most transition metals have work functions corresponding to photon frequencies that are
larger (higher) than visible light, alkali and alkaline earth metals have low-energy work functions.
For example, calcium has a work function of o = 4.3419×10-19 J.
(a) What is the initial state n, for the hydrogen emission lines at visible wavelengths (i.e., those
with n = 2) for the lowest-energy photon that would eject an electron from calcium?
%3!
(b) If the colors of the visible hydrogen emission lines (n; = 3 to n = 6) are red, green, blue and
%3D
violet, which colors are capable of ejecting the electrons from calcium?
(c) The energy of the emitted photon you identified in part (a), is not identical to the
workfunction of calcium. Therefore, the electron is ejected from the metal surface with some
kinetic energy (i.e., energy is conserved in the photoelectric effect process). What would the
velocity of the electron ejected from calcium (in meters per second)?
a. The electron of a hydrogen atom is excited into a higher energy level from a lower energy level. A short time later the electron relaxes down to the no = 1 energy level, releasing a
photon with a wavelength of 93.83 nm. Compute the quantum number of the energy level the electron relaxes from, nhi. Note: the Rydberg constant in units of wavenumbers is 109,625
cm-1
nhi =16
b. What would the wavenumber, wavelength and energy of the photon be if instead no = 1 and nhi = 4?
V: 6.9121e14 x (cm-¹)
λ:
(nm)
E: 45.8e-20
✓ (1)
A sodium atom makes a transition from the first excited state to the groundstate, emitting a 589.0-nm photon with energy 2.105 eV. If the lifetime of this excited state is 1.6 × 10−8 s , what is the uncertainty in energy of this excited state? What is the width of the corresponding spectral line?
Chapter 41 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 41.3 - Prob. 41.1QQCh. 41.3 - Prob. 41.2QQCh. 41.4 - Prob. 41.3QQCh. 41.4 - Prob. 41.4QQCh. 41.8 - Prob. 41.5QQCh. 41 - Prob. 1PCh. 41 - Prob. 2PCh. 41 - Prob. 3PCh. 41 - Prob. 4PCh. 41 - Prob. 5P
Ch. 41 - Prob. 6PCh. 41 - Prob. 7PCh. 41 - Prob. 8PCh. 41 - Prob. 9PCh. 41 - Prob. 10PCh. 41 - Prob. 11PCh. 41 - Prob. 13PCh. 41 - Prob. 14PCh. 41 - Prob. 15PCh. 41 - Prob. 16PCh. 41 - Prob. 17PCh. 41 - Prob. 18PCh. 41 - Prob. 19PCh. 41 - Prob. 20PCh. 41 - Prob. 21PCh. 41 - Prob. 23PCh. 41 - Prob. 24PCh. 41 - Prob. 25PCh. 41 - Prob. 26PCh. 41 - Prob. 27PCh. 41 - Prob. 28PCh. 41 - Prob. 29PCh. 41 - Prob. 30PCh. 41 - Prob. 31PCh. 41 - Prob. 32PCh. 41 - Prob. 33PCh. 41 - Prob. 34PCh. 41 - Prob. 35PCh. 41 - Prob. 36PCh. 41 - Prob. 37APCh. 41 - Prob. 39APCh. 41 - Prob. 40APCh. 41 - Prob. 41APCh. 41 - Prob. 42APCh. 41 - Prob. 44APCh. 41 - Prob. 45APCh. 41 - Prob. 46APCh. 41 - Prob. 47APCh. 41 - Prob. 49APCh. 41 - Prob. 50APCh. 41 - Prob. 51CPCh. 41 - Prob. 52CP
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