Exam 43: Particle Physics and Cosmology

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Consider the decay πo → μ- + e+. This decay is

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A galaxy is observed receding from Earth with a speed of 2800 km/s. If the Hubble constant is 22 km/s per million light-years, estimate how many years ago the light that we presently see from the galaxy actually left the galaxy. (c = 3.00 × 108 m/s, 1 ly = 9.461 × 1015 m, 1 y = 3.156 × 107 s)

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The background microwave radiation, discovered in 1965 by Penzias and Wilson, has its peak intensity at a wavelength of 1.06 mm. What blackbody temperature does this wavelength imply for the universe? (σ = 5.670 × 10-8 W/m2 ∙ K4, Wien displacement law constant is 2.90 × 10-3 m ∙ K)

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A giant star in another galaxy exploded 67 million years ago, forming a supernova. The event is observed by an astronomer on Earth. Estimate the speed at which the supernova (and its galaxy) recedes from Earth if the Hubble constant is 22 km/s per million light-years. (c = 3.00 × 108 m/s, 1 ly = 9.461 × 1015 m, 1 y = 3.156 × 107 s)

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A cyclotron is designed with a magnet that produces a magnetic field of 1.2 T. When refurbished, the magnet is replaced by one that produces a 1.5-T field. How does the maximum kinetic energy achieved by the protons change compared to their previous maximum kinetic energy?

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Which one of the following decays CAN occur?

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What is the quark composition of the proton?

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The Hα spectral line of hydrogen has a wavelength of 656.3 nm as measured in the laboratory. The Hα spectral line is observed in light from a distant star at a redshifted wavelength of 789.0 nm. If Hubble's law is valid for this star, estimate how far is it from Earth if the Hubble constant is 22 km/s per million light-years. (c = 3.00 × 108 m/s, 1 ly = 9.461 × 1015 m, 1 y = 3.156 × 107 s)

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Which of the following particles are leptons? (There may be more than one correct choice.)

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Estimate the speed of a galaxy away from us if it is 10 billion light-years from us and if the Hubble constant is 22 km/s per million light-years. (c = 3.00 × 108 m/s, 1 ly = 9.461 × 1015 m, 1 y = 3.156 × 107 s)

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The reaction p + e- → The reaction p + e- →   + e<sup>+</sup> is not possible because + e+ is not possible because

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A neutral η0 (having mass 0.642 u) that is at rest decays into two gamma ray photons. What is the energy in MeV of each photon? (1 u = 931.5 MeV/c2)

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Is the decay π0 → μ+ + vμ allowed?

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How many different kinds of leptons are known to exist, including antiparticles as different kinds?

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Consider the negative pion, π-. (a) What combination of up and down quarks makes up this particle? (b) Is the π- a baryon or a meson? (c) Is the π- a lepton or a hadron?

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The reaction p + The reaction p +   → e+ + γ is not possible because → e+ + γ is not possible because

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How many quarks are in a deuteron, 2H?

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Consider the possibility that a neutron could decay into a proton and a pion. What, if any, of the following conservation laws would this process violate?

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Composite particles that are composed of three quarks are called

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Suppose that the Hubble constant had the value 35.0 km/s per million light-years. (1 y = 3.156 × 107 s, mH ≈ mproton = 1.67 × 10-27 kg, c = 3.00 × 108 m/s, 1 light-year = 9.461 × 1015 m, G = 6.67 × 10-11 N ∙ m²/kg²) (a) What would be the maximum density the universe could have that would still allow it to expand forever? (b) Under the conditions of part (a), how many hydrogen atoms would we expect to find, on the average, in a volume of space measuring 3.00 m by 8.00 m by 8.00 m?

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