Exam 35: Interference

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Conservation laws: Is the decay Σ+ → p + π+ allowed?

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Hubble's law: 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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Stars: The sun has apparent brightness B when observed from Earth, 1.5 × 108 km away. What would be the apparent brightness of the sun viewed from Pluto, which is 6.0 × 109 km from the sun?

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

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Quarks: How many quarks are in a deuteron, 2H?

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Conservation laws: Which one of the following decays CAN occur?

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Hubble's law: A distant galaxy is emitting light from the helium spectrum at 388.9 nm. On Earth the wavelength of the light from this galaxy is measured to be 540.6 nm. Estimate how far from Earth (in light-years) this galaxy is if the Hubble constant has the value 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)

(Short Answer)
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Hubble's law: If a galaxy is receding from us at 0.10c. Use Hubble's law to estimate the distance to this galaxy 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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Particles: Suppose you were to try to create a proton-antiproton pair by annihilation of two very high-energy gamma rays of the same wavelength heading toward each other. The proton and the anti-proton have the same masses, but opposite charges. What would be the minimum energy needed for each photon? (e = 1.60 × 10-19 C, mproton = 1.67 × 10-27 kg, c = 3.00 × 108 m/s)

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Particle accelerators: A cyclotron of radius 0.25 m accelerates protons in a 1.7-T magnetic field. What is the frequency for the applied alternating voltage? (mproton = 1.67 × 10-27 kg, e = 1.60 × 10-19C)

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Particles: What type of particle is an electron? (There may be more than one correct choice.)

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Stars: A star has absolute luminosity equal to that of the sun, which is 1.5 × 108 km from the earth, but this star is 32.6 light-years away from the earth. By what factor will it appear dimmer than the sun? (1 ly = 9.461 × 1015 m)

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Conservation laws: Is the decay π0 → μ+ + vμ allowed?

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Stars: What is the parallax angle for Proxima Centauri, which is Earth's nearest star at 4.3 ly? Earth's orbit around the sun has a mean radius of 1.5 × 108 km, and 1 ly = 9.461 × 1015 m.

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Hubble's law: 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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Cosmology: Dark energy accounts for what percent of the known energy in the universe?

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Quarks: Given that the reaction n + π+ → p can occur and that the quark composition of the neutron is udd and that of the proton is uud, what must be the quark composition of the π+ meson?

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Cosmology: 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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Particle accelerators: A deuteron has the same charge as a proton but approximately twice the proton mass. Suppose deuterons are being accelerated in a cyclotron in an orbit of radius 75 cm at a frequency of 8.0 MHz. What magnetic field magnitude is needed? (e = 1.60 × 10-19 C, mproton = 1.67 × 10-27 kg)

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Conservation laws: The reaction p + e- → + e+ is not possible because

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