Chapter 11: Problem 39
Based on quark composition of a proton, show that its charge is +1.
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Chapter 11: Problem 39
Based on quark composition of a proton, show that its charge is +1.
These are the key concepts you need to understand to accurately answer the question.
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(a) Calculate the relativistic quantity \(\gamma=\frac{1}{\sqrt{1-v^{2} / c^{2}}}\) for 1.00 -TeV protons produced at Fermilab. (b) If such a proton created a \(\pi^{+}\) having the same speed, how long would its life be in the laboratory? (c) How far could it travel in this time?
One of the common decay modes of the \(\Lambda^{0}\) is \(\Lambda^{0} \rightarrow \pi^{-}+\mathrm{p}\) Even though only hadrons are involved in this decay, it occurs through the weak nuclear force. How do we know that this decay does not occur through the strong nuclear force?
What is the total kinetic energy carried away by the particles of the following decays? (a) \(\pi^{0} \rightarrow \gamma+\gamma\) (b) \(\mathrm{K}^{0} \rightarrow \pi^{+}+\pi^{-}\) (c) \(\Sigma^{+} \rightarrow n+\pi^{+}\) (d) \(\Sigma^{0} \rightarrow \Lambda^{0}+\gamma\)
(a) What Hubble constant corresponds to an approximate age of the universe of \(10^{10}\) y? To get an approximate value, assume the expansion rate is constant and calculate the speed at which two galaxies must move apart to be separated by 1 Mly (present average galactic separation) in a time of \(10^{10}\) y. (b) Similarly, what Hubble constant corresponds to a universe approximately \(2 \times 10^{10}\) years old?
The 3.20-km-long SLAC produces a beam of 50.0-GeV electrons. If there are 15,000 accelerating tubes, what average voltage must be across the gaps between them to achieve this energy?
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