PHYSICS:F/SCI.+ENGRS.,V.1
10th Edition
ISBN: 9781337553575
Author: SERWAY
Publisher: CENGAGE L
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Chapter 33.7, Problem 33.7QQ
A radio wave of frequency on the order of 105 Hz is used to carry a sound wave with a frequency on the order of 103 Hz. Is the wavelength of this radio wave on the order of (a) kilometers, (b) meters, (c) centimeters, or (d) micrometers?
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A solid circular cylinder and a solid spherical ball of the same mass and radius are rolling
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Question 04
in 20
Question B3
Consider the following FLRW spacetime:
t2
ds² = -dt² +
(dx²
+ dy²+ dz²),
t2
where t is a constant.
a)
State whether this universe is spatially open, closed or flat.
[2 marks]
b) Determine the Hubble factor H(t), and represent it in a (roughly drawn) plot as a function
of time t, starting at t = 0.
[3 marks]
c) Taking galaxy A to be located at (x, y, z) = (0,0,0), determine the proper distance to galaxy
B located at (x, y, z) = (L, 0, 0). Determine the recessional velocity of galaxy B with respect
to galaxy A.
d) The Friedmann equations are
2
k
8πG
а
4πG
+
a²
(p+3p).
3
a
3
[5 marks]
Use these equations to determine the energy density p(t) and the pressure p(t) for the
FLRW spacetime specified at the top of the page.
[5 marks]
e) Given the result of question B3.d, state whether the FLRW universe in question is (i)
radiation-dominated, (ii) matter-dominated, (iii) cosmological-constant-dominated, or (iv)
none of the previous. Justify your answer.
f)
[5 marks]
A conformally…
SECTION B
Answer ONLY TWO questions in Section B
[Expect to use one single-sided A4 page for each Section-B sub question.]
Question B1
Consider the line element
where w is a constant.
ds²=-dt²+e2wt dx²,
a) Determine the components of the metric and of the inverse metric.
[2 marks]
b) Determine the Christoffel symbols. [See the Appendix of this document.]
[10 marks]
c)
Write down the geodesic equations.
[5 marks]
d) Show that e2wt it is a constant of geodesic motion.
[4 marks]
e)
Solve the geodesic equations for null geodesics.
[4 marks]
Chapter 33 Solutions
PHYSICS:F/SCI.+ENGRS.,V.1
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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