College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 21, Problem 55P
To determine
The magnitude of maximum electric field and magnetic field for the electromagnetic waves at the top of the atmosphere.
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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
acceleration
Question 03
i)
Define the angular velocity of a rotating body and give its SI unit
A car wheel has its angular velocity changing from 2rads to 30 rads
seconds. If the radius of the wheel is 400mm. calculate
ii)
The angular acceleration
iii)
The tangential linear acceleration of a point on the rim of the wheel
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 21 Solutions
College Physics
Ch. 21.1 - Which of the following statements can be true for...Ch. 21.4 - For the circuit in Figure 21.8, is the...Ch. 21.4 - Prob. 21.3QQCh. 21.4 - Suppose XL XC in Figure 21.12. If switch A is...Ch. 21.4 - Suppose XL Xc in Figure 21.12. If switch A is...Ch. 21.4 - Prob. 21.6QQCh. 21.11 - In an apparatus such as the one in Figure 21.22....Ch. 21.12 - Which of the following statements are true about...Ch. 21 - An RLC circuit connected across an AC voltage...Ch. 21 - (a) Does the phase angle in an RLC series circuit...
Ch. 21 - Prob. 3CQCh. 21 - Receiving radio antennas can be in the form of...Ch. 21 - The following statements are related to an RLC...Ch. 21 - Prob. 6CQCh. 21 - In space sailing, which is a proposed alternative...Ch. 21 - Prob. 8CQCh. 21 - A resistor, capacitor, and inductor are connected...Ch. 21 - Prob. 10CQCh. 21 - Why should an infrared photograph of a person look...Ch. 21 - If a high-frequency current is passed through a...Ch. 21 - Prob. 13CQCh. 21 - Why is the sum of the maximum voltages across each...Ch. 21 - If the resistance in an RLC circuit remains the...Ch. 21 - An inductor and a resistor are connected in series...Ch. 21 - A capacitor and a resistor are connected in series...Ch. 21 - Prob. 18CQCh. 21 - Which of the following statements is true...Ch. 21 - (a) What is the resistance of a light bulb that...Ch. 21 - Prob. 2PCh. 21 - A 1.5-k resistor is connected to an AC voltage...Ch. 21 - Figure P21.4 show three lamp connected to a 120.-V...Ch. 21 - A 24.0-k resistor connected to an AC voltage...Ch. 21 - The output voltage of an AC generator is given by...Ch. 21 - (a) For what frequencies does a 22.0-F capacitor...Ch. 21 - North American outlets supply AC electricity with...Ch. 21 - When a 4.0-F capacitor is connected to a generator...Ch. 21 - An AC generator with an output rms voltage of 36.0...Ch. 21 - What maximum current is delivered by an AC source...Ch. 21 - A generator delivers an AC voltage of the form v =...Ch. 21 - Prob. 13PCh. 21 - An AC power source has an rms voltage of 120 V and...Ch. 21 - In a purely inductive AC circuit as shown in...Ch. 21 - The output voltage of an AC generator is given by...Ch. 21 - Prob. 17PCh. 21 - A sinusoidal voltage v = (80.0 V) sin (150t) is...Ch. 21 - A series RLC circuit has resistance R = 50.0 and...Ch. 21 - An inductor (L = 400. mH), a capacitor (C = 4.43...Ch. 21 - A resistor (R = 9.00 102 ), a capacitor (C =...Ch. 21 - A 50.0-H resistor, a 0.100-H inductor, and a...Ch. 21 - A series RLC circuit has resistance R = 12.0 ,...Ch. 21 - An AC source operating at 60. Hz with a maximum...Ch. 21 - A person is working near the secondary of a...Ch. 21 - A 60.0- resistor is connected in series with a...Ch. 21 - A series AC circuit contains a resistor, an...Ch. 21 - At what frequency does the inductive reactance of...Ch. 21 - An AC source with a maximum voltage of 150. V and...Ch. 21 - An AC source operating at 60. Hz with a maximum...Ch. 21 - A multimeter in an RL circuit records an rms...Ch. 21 - Prob. 32PCh. 21 - An RLC circuit has resistance R = 225 and...Ch. 21 - Prob. 34PCh. 21 - An inductor and a resistor are connected in...Ch. 21 - Consider a series RLC circuit with R = 25 , L =...Ch. 21 - An RLC circuit is used in a radio to tune into an...Ch. 21 - The resonant frequency of a certain series RLC...Ch. 21 - The AM bind extends from approximately 300. kHz to...Ch. 21 - Electrosurgical units (ESUs) supply high-frequency...Ch. 21 - Two electrical oscillators are used in a...Ch. 21 - A series circuit contains a 3.00-H inductor, a...Ch. 21 - The primary coil of a transformer has N1 = 250....Ch. 21 - A step-down transformer is used for recharging the...Ch. 21 - An AC power generator produces 50. A (rms) at 3...Ch. 21 - An ideal neon sign transformer provides 9 250 V at...Ch. 21 - Prob. 47PCh. 21 - A transmission line that has a resistance per unit...Ch. 21 - The U.S. Navy has long proposed the construction...Ch. 21 - (a) The distance to Polaris, the North Star, is...Ch. 21 - Prob. 51PCh. 21 - The speed of light in vacuum is defined to be...Ch. 21 - Oxygenated hemoglobin absorbs weakly in the red...Ch. 21 - Operation of the pulse oximeter (see previous...Ch. 21 - Prob. 55PCh. 21 - A laser beam is used to levitate a metal disk...Ch. 21 - Prob. 57PCh. 21 - Prob. 58PCh. 21 - Prob. 59PCh. 21 - A diathermy machine, used in physiotherapy,...Ch. 21 - What are the wavelength ranges in (a) the AM radio...Ch. 21 - An important news announcement is transmitted by...Ch. 21 - Prob. 63PCh. 21 - A spaceship is approaching a space station at a...Ch. 21 - Police radar guns measure the speed of moving...Ch. 21 - A speeder tries to explain to the police that the...Ch. 21 - A 25.0-mW laser beam of diameter 00 mm is...Ch. 21 - The intensity of solar radiation at the top of...Ch. 21 - Prob. 69APCh. 21 - In an RLC series circuit that includes a source of...Ch. 21 - As a way of determining the inductance of a coil...Ch. 21 - (a) What capacitance will resonate with a one-turn...Ch. 21 - A dish antenna with a diameter of 20.0 m receives...Ch. 21 - A particular inductor has appreciable resistance....Ch. 21 - Prob. 75APCh. 21 - Prob. 76AP
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