Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics
1st Edition
ISBN: 9781305259836
Author: Debora M. Katz
Publisher: Cengage Learning
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Chapter 34, Problem 24PQ
To determine
The equations for the electric field and the magnetic field for an
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Question B3
Consider the following FLRW spacetime:
t2
ds² = -dt² +
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[2 marks]
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2
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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]
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radiation-dominated, (ii) matter-dominated, (iii) cosmological-constant-dominated, or (iv)
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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]
Page 2
SECTION A
Answer ALL questions in Section A
[Expect to use one single-sided A4 page for each Section-A sub question.]
Question A1
SPA6308 (2024)
Consider Minkowski spacetime in Cartesian coordinates th
=
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ds² = dt² + dx² + dy² + dz².
(a) Consider the vector with components V" = (1,-1,0,0). Determine V and V. V.
(b) Consider now the coordinate system x' (u, v, y, z) such that
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[2 marks]
Write down the line element, the metric, the Christoffel symbols and the Riemann curvature
tensor in the new coordinates. [See the Appendix of this document.]
[5 marks]
(c) Determine V", that is, write the object in question A1.a in the coordinate system x'. Verify
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Suppose that A, is a covector field, and consider the object
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Chapter 34 Solutions
Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics
Ch. 34.1 - Prob. 34.1CECh. 34.2 - Prob. 34.2CECh. 34.4 - The electric part of an electromagnetic wave is...Ch. 34.5 - Prob. 34.4CECh. 34.5 - Prob. 34.5CECh. 34.6 - Prob. 34.6CECh. 34.8 - Prob. 34.7CECh. 34 - Prob. 1PQCh. 34 - Prob. 2PQCh. 34 - A circular coil of radius 0.50 m is placed in a...
Ch. 34 - Prob. 4PQCh. 34 - A solenoid with n turns per unit length has radius...Ch. 34 - Prob. 6PQCh. 34 - Prob. 7PQCh. 34 - Prob. 8PQCh. 34 - Prob. 9PQCh. 34 - Prob. 10PQCh. 34 - Prob. 11PQCh. 34 - Prob. 12PQCh. 34 - Prob. 13PQCh. 34 - Prob. 14PQCh. 34 - Prob. 15PQCh. 34 - Prob. 16PQCh. 34 - Prob. 17PQCh. 34 - Prob. 18PQCh. 34 - Prob. 19PQCh. 34 - Prob. 20PQCh. 34 - Ultraviolet (UV) radiation is a part of the...Ch. 34 - Prob. 22PQCh. 34 - What is the frequency of the blue-violet light of...Ch. 34 - Prob. 24PQCh. 34 - Prob. 25PQCh. 34 - Prob. 26PQCh. 34 - WGVU-AM is a radio station that serves the Grand...Ch. 34 - Suppose the magnetic field of an electromagnetic...Ch. 34 - Prob. 29PQCh. 34 - Prob. 30PQCh. 34 - Prob. 31PQCh. 34 - Prob. 32PQCh. 34 - Prob. 33PQCh. 34 - Prob. 34PQCh. 34 - Prob. 35PQCh. 34 - Prob. 36PQCh. 34 - Prob. 37PQCh. 34 - Prob. 38PQCh. 34 - Prob. 39PQCh. 34 - Prob. 40PQCh. 34 - Prob. 41PQCh. 34 - Prob. 42PQCh. 34 - Prob. 43PQCh. 34 - Prob. 44PQCh. 34 - Prob. 45PQCh. 34 - Prob. 46PQCh. 34 - Prob. 47PQCh. 34 - Prob. 48PQCh. 34 - Prob. 49PQCh. 34 - Prob. 50PQCh. 34 - Prob. 51PQCh. 34 - Prob. 52PQCh. 34 - Optical tweezers use light from a laser to move...Ch. 34 - Prob. 54PQCh. 34 - Prob. 55PQCh. 34 - Prob. 57PQCh. 34 - Prob. 58PQCh. 34 - Prob. 59PQCh. 34 - Prob. 60PQCh. 34 - Some unpolarized light has an intensity of 1365...Ch. 34 - Prob. 62PQCh. 34 - Prob. 63PQCh. 34 - Prob. 64PQCh. 34 - Unpolarized light passes through three polarizing...Ch. 34 - The average EarthSun distance is 1.00 astronomical...Ch. 34 - Prob. 67PQCh. 34 - Prob. 68PQCh. 34 - Prob. 69PQCh. 34 - Prob. 70PQCh. 34 - Prob. 71PQCh. 34 - Prob. 72PQCh. 34 - Prob. 73PQCh. 34 - Prob. 74PQCh. 34 - CASE STUDY In Example 34.6 (page 1111), we...Ch. 34 - Prob. 76PQCh. 34 - Prob. 77PQCh. 34 - Prob. 78PQCh. 34 - Prob. 79PQCh. 34 - Prob. 80PQCh. 34 - Prob. 81PQCh. 34 - Prob. 82PQCh. 34 - Prob. 83PQCh. 34 - In Section 34-1, we summarized classical...
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