The following quotation is taken from the article “Quantum Black Holes”, by Bernard J. Carr and Steven B. Giddings, in theMay 2005 issue of Scientific American. "The total time for a black hole to evaporate away is proportional to the cube of itsinitial mass. For a solar-mass hole, the lifetime is an unobservably long 1064 years."a. Recall that the solar mass is 2 × 10³0 kilograms. Write a formula for the lifetime, L, of a black hole as a function of itsmass, m. Start by finding the value of the constant k, then write your function using the letter k (rather than its value inscientific notation). For example, for a direct variation you would write “L(m) = km”.k = a × 10¹ where a =L(m) =b. The present agemass = c × 10ª kg, where c =Aand b ==of the universe is about 10¹0 years. What would be the mass of a black hole as old as the universe?IDand d=J

Given that: The total time for a black hole to evaporate away proportional to the cube of itsinitial…

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7. The two-tailed p-value associated with this test is 0.860. Should the null hypothesis be rejected?8. Is there sufficient evidence to suggest that there is a statistically significant difference between the two means in question?9. If we now wanted to know whether there is a difference in weight between those with a low NYHA class (1 and 2) and those with a high NYHA class (3 and 4), what p-value would you report? Note that here, you'll need to combine categories 1 and 2 together, and categories 3 and 4 together. The creation of new variables was discussed in a previous lab. Please refer to it.
The radio galaxy Cygnus A possesses a lobe of plasma that is detected by both radio and X-ray observatories. The temperature of the X-ray-emitting plasma is 4 keV and the number density of the particles in the plasma is 4x103 m-3. Assume that the plasma is composed solely of completely ionized hydrogen, so the number densities of protons and electrons per cubic meter are identical. * the given number density of particles corresponds to the number density of hydrogen nuclei, so you can safely assume that the number density of electrons is equivalent to this number density a) Compute the collision frequency in Hertz between electrons and ions in the plasma. b) Compute the Debye wavelength in meters of the plasma. c) Compute the plasma parameter of the plasma.
If you have a positive look (pi+, mass: mpi = 2.50 x 10-28 kg) at rest and it decays to a positive muon (u+, mass: mu = 1.88 x 10-28 kg) and a neutrino. 1. How much gas is released during the decay process in MeV? If the rest mass of a neutrino is assumed to be negligible. 2. Why is the neutrino required for this decay to occur?
4. Consider following the following the fusion nuclear reaction: n+p+p→;He. What happens to the different types of potential energies of this system as a result the reaction (i.e. the electrical potential energy and the strong nuclear potential energy)? The atomic mass of He is 3.016029 u. a. The electrical potential energy and the strong nuclear potential energy both increase. b. The electrical potential energy increases and the strong nuclear potential energy decreases. c. The electrical potential energy increases and the strong nuclear potential energy remains the same. d. The electrical potential energy decreases and the strong nuclear potential energy increases. e. The electrical potential energy and the strong nuclear potential energy both decrease.
The radio galaxy Cygnus A possesses a lobe of plasma that is detected by both radio and X-ray observatories. The temperature of the X-ray-emitting plasma is 4 keV and the number density of the particles in the plasma is 4x103 m-3. Assume that the plasma is composed solely of completely ionized hydrogen, so the number densities of protons and electrons per cubic meter are identical. * the given number density of particles corresponds to the number density of hydrogen nuclei, so you can safely assume that the number density of electrons is equivalent to this number density a) Compute the temperature of the plasma in Kelvin. b) Using the calculated temperature for the plasma, compute the mean velocity in meters per second of an electron within the plasma. c) Compute the Coulomb cross section in square meters for a collision between an electron and a proton in the plasma.
The geometry of spacetime in the Universe on large scales is determined by the mean energy density of the matter in the Universe, ρ. The critical density of the Universe is denoted by ρ0 and can be used to define the parameter Ω0 = ρ/ρ0. Describe the geometry of space when: (i) Ω0 < 1; (ii) Ω0 = 1; (iii) Ω0 > 1. Explain how measurements of the angular sizes of the hot- and cold-spots in the CMB projected on the sky can inform us about the geometry of spacetime in our Universe. What do measurements of these angular sizes by the WMAP and PLANCK satellites tell us about the value of Ω0?
Black holes have three layers: the outer and inner event horizon, and the singularity. The event horizon of a black hole is the boundary around the mouth of the black hole, past which light cannot escape. Once a particle crosses the event horizon, it cannot leave. Gravity is constant across the event horizon. The inner region of a black hole, where the object's mass lies, is known as its singularity, the single point in space-time where the mass of the black hole is concentrated. Scientists can't see black holes the way they can see stars and other objects in space. Instead, astronomers must rely on detecting the radiation black holes emit as dust and gas are drawn into the dense creatures. But supermassive black holes, lying in the center of a galaxy, may become shrouded by the thick dust and gas around them, which can block the telltale emissions. Explain this in simpler terms.
C Imagine An Alternate Universe V X to kg-Google Search O A https://www-awu.aleks.com/alekscgi/x/lsl.exe/1o_u-IgNslkasNW8D8A9PVVfeR1Y7GY2KST3SAA8EqmvAnKnndcHJmAcNN2IPIXIFZqUOWPsBG1EcIVILUdSD e Register | Pearso O Average Atomic Ma. 2 Convert grams Calc. Convert hertz [Hz] t. Q VidQuiz: Trans. In B. Syllabus: 1A Blake F.. abody b Answered: Decide 10 Imagine an alternate universe where the value of the Planck constant is 6.62607 × 10º J.s. In that universe, which of the following objects would require quantum mechanics to describe, tha objects would act like everyday objects, and be adequately described by classical mechanics? object quantum or classical? O classical A paper airplane with a mass of 4.4 g, 250. mm long, moving at 1.4 m/s. O quantum classical An iceberg with a mass of 1.4 x 108 kg, 120. m wide, moving at 0.61 km/h. quantum classical A raindrop with a mass of 16.0 mg, 3.7 mm wide, moving at 8.2 m/s. quantum O classical An eyelash mite with a mass of 14.9 ug, 210 um wide,…