Assuming that hydrogen fusion requires the Universe to have a temperature of T > 10’ K (as measured by the CMB), determine the redshift at which the fusion of hydrogen into helium was just possible as the Universe expanded and cooled. Choose the option below that most closely matches your answer. Select one: О а. 4000.87 O b. 3669723.77 О с. 2229723.71 O d. 9748293.14 O e. 4669723.16
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- helpA main sequence star of mass 25 M⊙has a luminosity of approximately 80,000 L⊙. a. At what rate DOES MASS VANISH as H is fused to He in the star’s core? Note: When we say “mass vanish '' what we really mean is “gets converted into energy and leaves the star as light”. Note: approximate answer: 3.55 E14 kg/s b. At what rate is H converted into He? To do this you need to take into account that for every kg of hydrogen burned, only 0.7% gets converted into energy while the rest turns into helium. Approximate answer = 5E16 kg/s c. Assuming that only the 10% of the star’s mass in the central regions will get hot enough for fusion, calculate the main sequence lifetime of the star. Put your answer in years, and compare it to the lifetime of the Sun. It should be much, much shorter. Approximate answer: 30 million years.In 1999, scientists discovered a new class of black holes with masses 100 to 10,000 times the mass of our sun that occupy less space than our moon. Suppose that one of these black holes has a mass of 1x10^3 suns and a radius equal to one-half the radius of our moon. What is the density of the black hole in g/cm^3? The radius of our sun is 7.0x10^5 km, and it has an average density of 1.4x10^3 kg/m^3. The diameter of the moon is 2.16x10^3 miles.
- consider plutoz diameter and mass. (2374)km & (1.303E22kg) and day which js 6.4 dayz long. FIND: 1. please elaborate how would you get the answer to the escappe vel0city from plut0. 2. we would need to find the minimum energy required for an aircraft or ship of some sort with mass (525kg) to escape this planet.. 3. we would also need to find the t0tal energy for a complete orbit around the planet with an airship with a same mass (525) and an altitude of 224 kmCalculate the redshift of a star if H-ß line of hydrogen from the star is observed to be 800 nm.Consider a Schechter luminosity function of the form where a = 0.9, ΦΣ = -0 (L)dL = D(+) L e-(L/Lx)dL, L 0.012h3 Mpc3 and L - 1010h Lo. Calculate the total number density. Express the final answer in terms of h where h = Ho/(100 km s−¹Mpc¯¹) (Ho is the Hubble constant).
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