Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 21, Problem 41Q
To determine
The reason why mass of the resulting black hole is less than the sum of masses of individual black holes. Also explain where does the mass go. Given that two black holes merge to form a larger black hole.
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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 21 Solutions
Universe
Ch. 21 - Prob. 1CCCh. 21 - Prob. 2CCCh. 21 - Prob. 3CCCh. 21 - Prob. 4CCCh. 21 - Prob. 5CCCh. 21 - Prob. 6CCCh. 21 - Prob. 7CCCh. 21 - Prob. 8CCCh. 21 - Prob. 9CCCh. 21 - Prob. 10CC
Ch. 21 - Prob. 11CCCh. 21 - Prob. 12CCCh. 21 - Prob. 13CCCh. 21 - Prob. 14CCCh. 21 - Prob. 15CCCh. 21 - Prob. 16CCCh. 21 - Prob. 17CCCh. 21 - Prob. 18CCCh. 21 - Prob. 19CCCh. 21 - Prob. 20CCCh. 21 - Prob. 21CCCh. 21 - Prob. 1QCh. 21 - Prob. 2QCh. 21 - Prob. 3QCh. 21 - Prob. 4QCh. 21 - Prob. 5QCh. 21 - Prob. 6QCh. 21 - Prob. 7QCh. 21 - Prob. 8QCh. 21 - Prob. 9QCh. 21 - Prob. 10QCh. 21 - Prob. 11QCh. 21 - Prob. 12QCh. 21 - Prob. 13QCh. 21 - Prob. 14QCh. 21 - Prob. 15QCh. 21 - Prob. 16QCh. 21 - Prob. 17QCh. 21 - Prob. 18QCh. 21 - Prob. 19QCh. 21 - Prob. 20QCh. 21 - Prob. 21QCh. 21 - Prob. 22QCh. 21 - Prob. 23QCh. 21 - Prob. 24QCh. 21 - Prob. 25QCh. 21 - Prob. 26QCh. 21 - Prob. 27QCh. 21 - Prob. 28QCh. 21 - Prob. 29QCh. 21 - Prob. 30QCh. 21 - Prob. 31QCh. 21 - Prob. 32QCh. 21 - Prob. 33QCh. 21 - Prob. 34QCh. 21 - Prob. 35QCh. 21 - Prob. 36QCh. 21 - Prob. 37QCh. 21 - Prob. 38QCh. 21 - Prob. 39QCh. 21 - Prob. 40QCh. 21 - Prob. 41QCh. 21 - Prob. 42QCh. 21 - Prob. 43QCh. 21 - Prob. 44QCh. 21 - Prob. 45QCh. 21 - Prob. 46QCh. 21 - Prob. 47QCh. 21 - Prob. 48QCh. 21 - Prob. 49QCh. 21 - Prob. 50QCh. 21 - Prob. 51QCh. 21 - Prob. 52QCh. 21 - Prob. 53QCh. 21 - Prob. 54QCh. 21 - Prob. 55QCh. 21 - Prob. 56QCh. 21 - Prob. 57QCh. 21 - Prob. 58QCh. 21 - Prob. 59QCh. 21 - Prob. 60QCh. 21 - Prob. 61QCh. 21 - Prob. 62QCh. 21 - Prob. 63QCh. 21 - Prob. 64QCh. 21 - Prob. 65QCh. 21 - Prob. 66QCh. 21 - Prob. 67QCh. 21 - Prob. 68QCh. 21 - Prob. 69QCh. 21 - Prob. 70QCh. 21 - Prob. 71QCh. 21 - Prob. 72QCh. 21 - Prob. 73QCh. 21 - Prob. 74QCh. 21 - Prob. 75QCh. 21 - Prob. 85QCh. 21 - Prob. 86Q
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