Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 33, Problem 23P
(a)
To determine
The maximum electric field in the laser beam.
(b)
To determine
The total energy contained in a 1.00 m
(c)
To determine
The momentum carried by a 1.00 m
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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 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 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
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 - If the antenna in Figure 33.11 represents the...Ch. 33.7 - Prob. 33.6QQCh. 33.7 - A radio wave of frequency on the order of 105 Hz...Ch. 33 - Prob. 1PCh. 33 - Prob. 2PCh. 33 - A proton moves through a region containing a...
Ch. 33 - A diathermy machine, used in physiotherapy,...Ch. 33 - The distance to the North Star, Polaris, is...Ch. 33 - A radar pulse returns to the transmitterreceiver...Ch. 33 - The speed of an electromagnetic wave traveling in...Ch. 33 - You are working for SETI, the Search for...Ch. 33 - Review. A microwave oven is powered by a...Ch. 33 - Verify by substitution that the following...Ch. 33 - Why is the following situation impossible? An...Ch. 33 - At what distance from the Sun is the intensity of...Ch. 33 - If the intensity of sunlight at the Earths surface...Ch. 33 - Prob. 14PCh. 33 - High-power lasers in factories are used to cut...Ch. 33 - Review. Model the electromagnetic wave in a...Ch. 33 - Prob. 17PCh. 33 - Prob. 18PCh. 33 - Prob. 19PCh. 33 - Prob. 20PCh. 33 - A 25.0-mW laser beam of diameter 2.00 mm is...Ch. 33 - The intensity of sunlight at the Earths distance...Ch. 33 - Prob. 23PCh. 33 - Prob. 24PCh. 33 - Prob. 25PCh. 33 - Assume the intensity of solar radiation incident...Ch. 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 - An important news announcement is transmitted by...Ch. 33 - Assume the intensity of solar radiation incident...Ch. 33 - Classify waves with frequencies of 2 Hz, 2 kHz, 2...Ch. 33 - The eye is most sensitive to light having a...Ch. 33 - Prob. 36APCh. 33 - You are working as a radio technician. One day,...Ch. 33 - One goal of the Russian space program is to...Ch. 33 - The intensity of solar radiation at the top of the...Ch. 33 - The Earth reflects approximately 38.0% of the...Ch. 33 - Consider a small, spherical particle of radius r...Ch. 33 - Consider a small, spherical particle of radius r...Ch. 33 - Review. A 1.00-m-diameter circular mirror focuses...Ch. 33 - Prob. 44APCh. 33 - Prob. 45APCh. 33 - You may wish to review Sections 16.4 and 16.8 on...Ch. 33 - You are working at NASA, in a division that is...Ch. 33 - Prob. 48APCh. 33 - Prob. 49APCh. 33 - Prob. 50CPCh. 33 - Prob. 51CP
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