Physics for Scientists and Engineers, Volume 1
9th Edition
ISBN: 9781133954156
Author: Raymond A. Serway
Publisher: CENGAGE L
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Chapter 34, Problem 34.10CQ
What does a radio wave do to the charges in the receiving antenna to provide a signal for your car radio?
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ROTATIONAL DYNAMICS
Question 01
A solid circular cylinder and a solid spherical ball of the same mass and radius are rolling
together down the same inclined. Calculate the ratio of their kinetic energy. Assume pure
rolling motion Question 02
A sphere and cylinder of the same mass and radius start from ret at the same point and more
down the same plane inclined at 30° to the horizontal
Which body gets the bottom first and what is its acceleration
b) What angle of inclination of the plane is needed to give the slower body the same
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Question 03
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Define the angular velocity of a rotating body and give its SI unit
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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 34 Solutions
Physics for Scientists and Engineers, Volume 1
Ch. 34 - Prob. 34.1QQCh. 34 - What is the phase difference between the...Ch. 34 - Prob. 34.3QQCh. 34 - Prob. 34.4QQCh. 34 - If the antenna in Figure 33.11 represents the...Ch. 34 - Prob. 34.6QQCh. 34 - A radio wave of frequency on the order of 105 Hz...Ch. 34 - A spherical interplanetary grain of dust of radius...Ch. 34 - Prob. 34.2OQCh. 34 - A typical microwave oven operates at a frequency...
Ch. 34 - Prob. 34.4OQCh. 34 - Prob. 34.5OQCh. 34 - Which of the following statements are true...Ch. 34 - Prob. 34.7OQCh. 34 - Prob. 34.8OQCh. 34 - An electromagnetic wave with a peak magnetic field...Ch. 34 - Prob. 34.10OQCh. 34 - Prob. 34.11OQCh. 34 - suppose a creature from another planet has eyes...Ch. 34 - Prob. 34.2CQCh. 34 - Prob. 34.3CQCh. 34 - List at least three differences between sound...Ch. 34 - If a high-frequency current exists in a solenoid...Ch. 34 - Prob. 34.6CQCh. 34 - Prob. 34.7CQCh. 34 - Do Maxwells equations allow for the existence of...Ch. 34 - Prob. 34.9CQCh. 34 - What does a radio wave do to the charges in the...Ch. 34 - Prob. 34.11CQCh. 34 - An empty plastic or glass dish being removed from...Ch. 34 - Prob. 34.13CQCh. 34 - Prob. 34.1PCh. 34 - Prob. 34.2PCh. 34 - Prob. 34.3PCh. 34 - An election moves through a uniform electric field...Ch. 34 - A proton moves through a region containing a...Ch. 34 - Prob. 34.6PCh. 34 - Suppose you are located 180 in from a radio...Ch. 34 - A diathermy machine, used in physiotherapy,...Ch. 34 - The distance to the North Star, Polaris, is...Ch. 34 - Prob. 34.10PCh. 34 - Review. A standing-wave pattern is set up by radio...Ch. 34 - Prob. 34.12PCh. 34 - The speed of an electromagnetic wave traveling in...Ch. 34 - A radar pulse returns to the transmitterreceiver...Ch. 34 - Figure P34.15 shows a plane electromagnetic...Ch. 34 - Verify by substitution that the following...Ch. 34 - Review. A microwave oven is powered by a...Ch. 34 - Why is the following situation impossible? An...Ch. 34 - ln SI units, the electric field in an...Ch. 34 - At what distance from the Sun is the intensity of...Ch. 34 - If the intensity of sunlight at the Earths surface...Ch. 34 - Prob. 34.22PCh. 34 - A community plans to build a facility to convert...Ch. 34 - Prob. 34.24PCh. 34 - Prob. 34.25PCh. 34 - Review. Model the electromagnetic wave in a...Ch. 34 - High-power lasers in factories are used to cut...Ch. 34 - Consider a bright star in our night sky. Assume...Ch. 34 - What is the average magnitude of the Poynting...Ch. 34 - Prob. 34.30PCh. 34 - Review. An AM radio station broadcasts...Ch. 34 - Prob. 34.32PCh. 34 - Prob. 34.33PCh. 34 - Prob. 34.34PCh. 34 - A 25.0-mW laser beam of diameter 2.00 mm is...Ch. 34 - A radio wave transmits 25.0 W/m2 of power per unit...Ch. 34 - Prob. 34.37PCh. 34 - Prob. 34.38PCh. 34 - A uniform circular disk of mass m = 24.0 g and...Ch. 34 - The intensity of sunlight at the Earths distance...Ch. 34 - Prob. 34.41PCh. 34 - Assume the intensity of solar radiation incident...Ch. 34 - A possible means of space flight is to place a...Ch. 34 - Extremely low-frequency (ELF) waves that can...Ch. 34 - A Marconi antenna, used by most AM radio stations,...Ch. 34 - A large, flat sheet carries a uniformly...Ch. 34 - Prob. 34.47PCh. 34 - Prob. 34.48PCh. 34 - Two vertical radio-transmitting antennas are...Ch. 34 - Prob. 34.50PCh. 34 - What are the wavelengths of electromagnetic waves...Ch. 34 - An important news announcement is transmitted by...Ch. 34 - In addition to cable and satellite broadcasts,...Ch. 34 - Classify waves with frequencies of 2 Hz, 2 kHz, 2...Ch. 34 - Assume the intensity of solar radiation incident...Ch. 34 - In 1965, Arno Penzias and Robert Wilson discovered...Ch. 34 - The eye is most sensitive to light having a...Ch. 34 - Prob. 34.58APCh. 34 - One goal of the Russian space program is to...Ch. 34 - A microwave source produces pulses of 20.0GHz...Ch. 34 - The intensity of solar radiation at the top of the...Ch. 34 - Prob. 34.62APCh. 34 - Consider a small, spherical particle of radius r...Ch. 34 - Consider a small, spherical particle of radius r...Ch. 34 - A dish antenna having a diameter of 20.0 m...Ch. 34 - The Earth reflects approximately 38.0% of the...Ch. 34 - Review. A 1.00-m-diameter circular mirror focuses...Ch. 34 - Prob. 34.68APCh. 34 - Prob. 34.69APCh. 34 - You may wish to review Sections 16.4 and 16.8 on...Ch. 34 - Prob. 34.71APCh. 34 - Prob. 34.72APCh. 34 - Prob. 34.73APCh. 34 - Prob. 34.74APCh. 34 - Prob. 34.75APCh. 34 - Prob. 34.76CPCh. 34 - A linearly polarized microwave of wavelength 1.50...Ch. 34 - Prob. 34.78CPCh. 34 - Prob. 34.79CP
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