Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 38, Problem 38.51P
Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in Figure P38.51. A linearly polarized beam of light with plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity I1 = 10.0 units
(arbitrary). Calculate the transmitted intensity If when θ1 = 20.0°. θ2 = 40.0°, and θ3 = 60.0°. Hint: Make repealed use of Malus’s law.
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Question B3
Consider the following FLRW spacetime:
t2
ds² = -dt² +
(dx²
+ dy²+ dz²),
t2
where t is a constant.
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[2 marks]
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[3 marks]
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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)
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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,
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[2 marks]
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[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.]
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SPA6308 (2024)
Consider Minkowski spacetime in Cartesian coordinates th
=
(t, x, y, z), such that
ds² = dt² + dx² + dy² + dz².
(a) Consider the vector with components V" = (1,-1,0,0). Determine V and V. V.
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u =t-x,
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[2 marks]
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[5 marks]
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Chapter 38 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Ch. 38 - Suppose the slit width in Figure 37.4 is made half...Ch. 38 - Consider the central peak in the diffraction...Ch. 38 - Cats eyes have pupils that can be modeled as...Ch. 38 - Suppose you are observing a binary star with a...Ch. 38 - Ultraviolet light of wavelength 350 nm is incident...Ch. 38 - A polarizer for microwaves can be made as a grid...Ch. 38 - You are walking down a long hallway that has many...Ch. 38 - Certain sunglasses use a polarizing material to...Ch. 38 - What is most likely to happen to a beam of light...Ch. 38 - In Figure 38.4, assume the slit is in a barrier...
Ch. 38 - A Fraunhofer diffraction pattern is produced on a...Ch. 38 - Consider a wave passing through a single slit....Ch. 38 - Assume Figure 38.1 was photographed with red light...Ch. 38 - If plane polarized light is sent through two...Ch. 38 - Why is it advantageous to use a large-diameter...Ch. 38 - What combination of optical phenomena causes the...Ch. 38 - Prob. 38.10OQCh. 38 - When unpolarized light passes through a...Ch. 38 - Off in the distance, you see the headlights of a...Ch. 38 - Prob. 38.1CQCh. 38 - Holding your hand at arms length, you can readily...Ch. 38 - Prob. 38.3CQCh. 38 - (a) Is light from the sky polarized? (b) Why is it...Ch. 38 - Prob. 38.5CQCh. 38 - If a coin is glued to a glass sheet and this...Ch. 38 - Fingerprints left on a piece of glass such as a...Ch. 38 - A laser produces a beam a few millimeters wide,...Ch. 38 - Prob. 38.9CQCh. 38 - John William Strutt, Lord Rayleigh (1842-1919),...Ch. 38 - Prob. 38.11CQCh. 38 - Prob. 38.12CQCh. 38 - Light of wavelength 587.5 nm illuminates a slit of...Ch. 38 - Heliumneon laser light ( = 632.8 nm) is sent...Ch. 38 - Sound with a frequency 650 Hz from a distant...Ch. 38 - A horizontal laser beam of wavelength 632.8 nm has...Ch. 38 - Coherent microwaves of wavelength 5.00 cm enter a...Ch. 38 - Light of wavelength 540 nm passes through a slit...Ch. 38 - A screen is placed 50.0 cm from a single slit,...Ch. 38 - A screen is placed a distance L from a single slit...Ch. 38 - Assume light of wavelength 650 nm passes through...Ch. 38 - What If? Suppose light strikes a single slit of...Ch. 38 - A diffraction pattern is formed on a screen 120 cm...Ch. 38 - Coherent light of wavelength 501.5 nm is sent...Ch. 38 - Prob. 38.13PCh. 38 - The pupil of a cats eye narrows to a vertical slit...Ch. 38 - The angular resolution of a radio telescope is to...Ch. 38 - A pinhole camera has a small circular aperture of...Ch. 38 - The objective lens of a certain refracting...Ch. 38 - Yellow light of wavelength 589 nm is used to view...Ch. 38 - What is the approximate size of the smallest...Ch. 38 - A heliumneon laser emits light that has a...Ch. 38 - To increase the resolving power of a microscope,...Ch. 38 - Narrow, parallel, glowing gas-filled tubes in a...Ch. 38 - Impressionist painter Georges Seurat created...Ch. 38 - A circular radar antenna on a Coast Guard ship has...Ch. 38 - Prob. 38.25PCh. 38 - Prob. 38.26PCh. 38 - Consider an array of parallel wires with uniform...Ch. 38 - Three discrete spectral lines occur at angles of...Ch. 38 - The laser in a compact disc player must precisely...Ch. 38 - A grating with 250 grooves/mm is used with an...Ch. 38 - A diffraction grating has 4 200 rulings/cm. On a...Ch. 38 - The hydrogen spectrum includes a red line at 656...Ch. 38 - Light from an argon laser strikes a diffraction...Ch. 38 - Show that whenever white light is passed through a...Ch. 38 - Light of wavelength 500 nm is incident normally on...Ch. 38 - A wide beam of laser light with a wavelength of...Ch. 38 - Prob. 38.37PCh. 38 - Prob. 38.38PCh. 38 - Potassium iodide (Kl) has the same crystalline...Ch. 38 - Prob. 38.40PCh. 38 - Prob. 38.41PCh. 38 - Why is the following situation impossible? A...Ch. 38 - Prob. 38.43PCh. 38 - The angle of incidence of a light beam onto a...Ch. 38 - Unpolarized light passes through two ideal...Ch. 38 - Prob. 38.46PCh. 38 - You use a sequence of ideal polarizing niters,...Ch. 38 - An unpolarized beam of light is incident on a...Ch. 38 - The critical angle for total internal reflection...Ch. 38 - For a particular transparent medium surrounded by...Ch. 38 - Three polarizing plates whose planes are parallel...Ch. 38 - Two polarizing sheets are placed together with...Ch. 38 - In a single-slit diffraction pattern, assuming...Ch. 38 - Laser light with a wavelength of 632.8 nm is...Ch. 38 - Prob. 38.55APCh. 38 - Prob. 38.56APCh. 38 - Prob. 38.57APCh. 38 - Two motorcycles separated laterally by 2.30 m are...Ch. 38 - The Very Large Array (VLA) is a set of 27 radio...Ch. 38 - Two wavelengths and + (with ) are incident on...Ch. 38 - Review. A beam of 541-nm light is incident on a...Ch. 38 - Prob. 38.62APCh. 38 - Prob. 38.63APCh. 38 - Prob. 38.64APCh. 38 - Prob. 38.65APCh. 38 - Prob. 38.66APCh. 38 - Prob. 38.67APCh. 38 - A pinhole camera has a small circular aperture of...Ch. 38 - Prob. 38.69APCh. 38 - (a) Light traveling in a medium of index of...Ch. 38 - The intensity of light in a diffraction pattern of...Ch. 38 - Prob. 38.72APCh. 38 - Two closely spaced wavelengths of light are...Ch. 38 - Light of wavelength 632.8 nm illuminates a single...Ch. 38 - Prob. 38.75CPCh. 38 - A spy satellite can consist of a large-diameter...Ch. 38 - Suppose the single slit in Figure 38.4 is 6.00 cm...Ch. 38 - In Figure P37.52, suppose the transmission axes of...Ch. 38 - Consider a light wave passing through a slit and...
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