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 33, Problem 23P
(a)
To determine
The maximum electric field in the laser beam.
(b)
To determine
The total energy contained in a
(c)
To determine
The momentum carried by a
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A 13.0-mW helium-neon laser emits a beam of circular cross section with a diameter of 3.10 mm.
(a) Find the maximum electric field in the beam.
(b) What total energy is contained in a 1.00-m length of the beam?
(c) Find the momentum carried by a 1.00-m length of the beam.
Step 1
We will find the reasonable size of the electric field in a beam of bright light. At the speed of light, only a small
fraction of a joule is contained in a meter-length beam. The momentum of the beam is a very small fraction of a
kg. m/s. Light is described by energy and momentum but possesses no mass.
Step 2
We will use the equation relating the intensity of light to the wave amplitude. From the definition of intensity, we
can find the energy content of the beam of light. Then the relationship between momentum, energy, and the
speed of light will give us the momentum of a length of the beam.
Step 3
The intensity of light I is given by the average magnitude of the Poynting vector. We have
2
I = S₂
avg
P
Tr²…
A 14.0-mW helium-neon laser emits a beam of circular cross section with a diameter of 2.85 mm.
(a) Find the maximum electric field in the beam.
kN/C
(b) What total energy is contained in a 1.00-m length of the beam?
pJ
(c) Find the momentum carried by a 1.00-m length of the beam.
kg. m/s
A 18.0-mW helium–neon laser emits a beam of circular cross section with a diameter of 1.75 mm.
(a) Find the maximum electric field in the beam. kN/C(b) What total energy is contained in a 1.00-m length of the beam? pJ(c) Find the momentum carried by a 1.00-m length of the beam. kg · m/s
Chapter 33 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 33.1 - Prob. 33.1QQCh. 33.3 - What is the phase difference between the...Ch. 33.3 - Prob. 33.3QQCh. 33.5 - Prob. 33.4QQCh. 33.6 - Prob. 33.5QQCh. 33.7 - Prob. 33.6QQCh. 33.7 - Prob. 33.7QQCh. 33 - Prob. 1PCh. 33 - Prob. 2PCh. 33 - Prob. 3P
Ch. 33 - Prob. 4PCh. 33 - The distance to the North Star, Polaris, is...Ch. 33 - Prob. 6PCh. 33 - Prob. 7PCh. 33 - Prob. 8PCh. 33 - Prob. 9PCh. 33 - Prob. 10PCh. 33 - Prob. 11PCh. 33 - Prob. 12PCh. 33 - If the intensity of sunlight at the Earths surface...Ch. 33 - Prob. 14PCh. 33 - Prob. 15PCh. 33 - Review. Model the electromagnetic wave in a...Ch. 33 - Prob. 17PCh. 33 - Prob. 18PCh. 33 - Prob. 19PCh. 33 - Prob. 20PCh. 33 - Prob. 21PCh. 33 - The intensity of sunlight at the Earths distance...Ch. 33 - Prob. 23PCh. 33 - Prob. 24PCh. 33 - Prob. 25PCh. 33 - Prob. 26PCh. 33 - Extremely low-frequency (ELF) waves that can...Ch. 33 - A large, flat sheet carries a uniformly...Ch. 33 - Prob. 29PCh. 33 - Prob. 30PCh. 33 - Prob. 31PCh. 33 - Prob. 32PCh. 33 - Prob. 33APCh. 33 - Prob. 34APCh. 33 - Prob. 35APCh. 33 - Prob. 36APCh. 33 - Prob. 37APCh. 33 - One goal of the Russian space program is to...Ch. 33 - Prob. 39APCh. 33 - Prob. 40APCh. 33 - Prob. 41APCh. 33 - Prob. 42APCh. 33 - Prob. 43APCh. 33 - Prob. 44APCh. 33 - Review. (a) A homeowner has a solar water heater...Ch. 33 - Prob. 46APCh. 33 - Prob. 47APCh. 33 - Prob. 48APCh. 33 - Prob. 49APCh. 33 - Prob. 50CPCh. 33 - Prob. 51CP
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