Essential University Physics
4th Edition
ISBN: 9780134988566
Author: Wolfson, Richard
Publisher: Pearson Education,
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Chapter 30, Problem 32E
To determine
The angle between the outgoing beams.
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a) Consider the following function, where A is a constant.
y(x,t) = A(x — vt).
Can this represent a wave that travels along? Explain.
b) Which of the following are possible traveling waves, provide your reasoning and give the velocity of the
wave if it can be a traveling wave.
e-(a²x²+b²²-2abtx
b.1) y(x,t)
b.2) y(x,t)
=
=
A sin(ax² - bt²).
2
b.3) y(x,t)
=
A sin 2π
(+)
b.4) y(x,t)
=
A cos² 2π(t-x).
b.5) y(x,t)
=
A cos wt sin(kx - wt)
The capacitor in (Figure 1) is initially uncharged. The switch is closed at t=0. Immediately after the switch is closed, what is the current through the resistor R1, R2, and R3? What is the final charge on the capacitor? Please explain all steps.
Suppose you have a lens system that is to be used primarily for 620-nm light. What is the second thinnest coating of fluorite (calcium fluoride) that would be non-reflective for this wavelength?
× nm
434
Chapter 30 Solutions
Essential University Physics
Ch. 30.1 - Prob. 30.1GICh. 30.2 - The figure shows the path of a light ray through...Ch. 30.3 - The glass prism in Fig. 30.11 has n = 1.5 and is...Ch. 30.4 - Prob. 30.4GICh. 30 - Prob. 1FTDCh. 30 - Why does a spoon appear bent when its in a glass...Ch. 30 - Prob. 3FTDCh. 30 - Prob. 4FTDCh. 30 - You send white light through two identical glass...Ch. 30 - In glass, which end of the visible spectrum has...
Ch. 30 - Prob. 7FTDCh. 30 - Why are polarizing sunglasses better than glasses...Ch. 30 - Under what conditions will the polarizing angle be...Ch. 30 - Through what angle should you rotate a mirror so...Ch. 30 - Prob. 12ECh. 30 - To what angular accuracy must two ostensibly...Ch. 30 - Prob. 14ECh. 30 - In which substance in Table 30.1 does the speed of...Ch. 30 - Information in a compact disc is stored in pits"...Ch. 30 - Light is incident on an air-glass interface, and...Ch. 30 - A light ray propagates in a transparent material...Ch. 30 - Light propagating in the glass (n = 1.52) wall of...Ch. 30 - Prob. 20ECh. 30 - Find the refractive index of a material for which...Ch. 30 - Find the critical angle for total internal...Ch. 30 - A drop of water is trapped in a block of ice....Ch. 30 - What is the critical angle for light propagating...Ch. 30 - Total internal reflection occurs at an interface...Ch. 30 - Blue and red laser beams strike an air-glass...Ch. 30 - White light propagating in air is incident at 45...Ch. 30 - Example 30.2: Take the slab in Fig 30.6 to be...Ch. 30 - Example 30.2: Take θ1 = 32.5° in Fig 30.6. (a) If...Ch. 30 - Prob. 30ECh. 30 - Prob. 31ECh. 30 - Prob. 32ECh. 30 - Prob. 33ECh. 30 - Prob. 34ECh. 30 - Prob. 35ECh. 30 - Suppose the 60 angle in Fig. 30.18 is changed to...Ch. 30 - The refractive index of a human cornea is 1.40. If...Ch. 30 - Two plane mirrors make an angle . A light ray...Ch. 30 - An unlabeled bottle of liquid has spilled, and...Ch. 30 - A meter stick lies on the bottom of the...Ch. 30 - Prob. 41PCh. 30 - At the aquarium where you work, a fish has gone...Ch. 30 - Prob. 43PCh. 30 - You've dropped your car keys at night off the end...Ch. 30 - Laser eye surgery uses ultraviolet light with...Ch. 30 - Prob. 46PCh. 30 - Where and in what direction would the main beam...Ch. 30 - Find the speed of light in a material for which...Ch. 30 - Prob. 49PCh. 30 - For the interface between air (refractive index 1)...Ch. 30 - A scuba diver sets off a camera flash at depth h...Ch. 30 - Suppose the red and blue beams of Exercise 26 are...Ch. 30 - In cataract surgery, ophthalmologists replace the...Ch. 30 - In a ruby laser, light is produced in a solid rod...Ch. 30 - An optical fiber with circular cross section has...Ch. 30 - A cylindrical tank 2.4 m deep is full to the brim...Ch. 30 - For what diameter tank in Problem 50 will sunlight...Ch. 30 - Prob. 58PCh. 30 - Prob. 59PCh. 30 - (a) Differentiate the result of Problem 55 to show...Ch. 30 - Prob. 61PCh. 30 - Show that a three-dimensional corner reflector...Ch. 30 - Fermat's principle states that a light ray's path...Ch. 30 - Prob. 64PCh. 30 - A slab of transparent material has thickness d and...Ch. 30 - For common materials like glass, the wavelength...Ch. 30 - Figure 30.25a depicts lights path over a hot road,...Ch. 30 - Prob. 68PPCh. 30 - Figure 30.25b shows how continuous refraction in...Ch. 30 - The refractive index in the ionosphere is strongly...
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