Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 41, Problem 52CP
(a)
To determine
The magnitude of deceleration of the atomic beam.
(b)
To determine
The order of magnitude for distance halts by the beam.
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P17.5 Another important uncertainty principle is encountered
in time-dependent systems. It relates the lifetime of a state At
with the measured spread in the photon energy AE associated
with the decay of this state to a stationary state of the system.
"Derive" the relation AE At ≥ h/2 in the following steps.
a. Starting from E = p/2m and AE = (dE/dpx)^px,
Vx Apx.
show that AE =
b. Using vx = Ax/At, show that AE At
=
ApxAx ≥ h/2.
c. Estimate the width of a spectral line originating from the
decay of a state of lifetime 1.0 × 10s and 1.0 × 10-¹¹ s
in inverse seconds and inverse centimeters.
Your answer is partially correct.
A laser emits light at wavelength A = 598 nm in a beam of diameter 3.7 mm and at an energy-emission rate of 5.5 mW. A detector in
the beam's path absorbs the beam. At what rate per unit area does the detector absorb photons?
Number
1.429048888
Units
photons/s-m^2
Pulsed lasers have many applications, but are very complicated to construct. One problem is
chromatic aberration, another is aligning the components. Commonly available laser systems can
produce 1 fs (10-¹4 s) pulses.
a) how far does light travel in 1 fs?
b) If the energy per pulse is 100 mJ, what's the power per pulse (in Watts)?
c) calculate the (minimum) spread of frequencies required to produce a 1 fs pulse.
d) if the center wavelength is 1 um, what is the range of wavelengths contained in a single pulse?
e) common varieties of optical glass have a dispersion An/A2 = 0.025/micron.
1) if the index of refraction is 1.51 for λ = 1 um, what is the value of 'n' for the upper and lower
wavelength?
2) the focal length of a lens is inversely proportional to the index of refraction: 1/f~ (n-1). What
is the ratio of the focal lengths for the two extreme wavelengths?
3) how much longitudinal chromatic aberration (the difference in focal length between two
colors) is there for a 100 mm focal…
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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