If p = 2.7 x 10-27 kgm-3, what is the radius of curvature Ro of Einstein's static universe? How long would it take a photon to circumnavigate such a universe?
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- The matter density in the Universe today is Pm = -27 kg m-3. What would 2.7 x 10 be the value of the density parameter, 2o, if the Hubble constant had the value Ho = 38 km/s/Mpc? Assume the Universe does not contain dark energy and choose the option below that best matches your answer. Select one: O a. 0.1 O b. 2. О с. 1. O d. 0.7 О е. 0.5a) Briefly explain what is meant by "particle horizon" and "event horizon" in cosmology. b) Calculate the physical particle horizon, RH (t), at time t. Assume a flat FRW universe which is dominated by a fluid that gives rise to scale factor evolution a(t) = ao ()*, to where n is a constant with 0Scientists are conducting an experiment to determine if their hypothesis that a certain constant in the universe is 1.65. the uncertainties in the experiment result in a relative uncertainty of no more than 2%. After several experimental trials, the scientists obtained an average value of 1.7 for the constant. What can be said about the scientists hypothesis? Hint calculate the percent error and compare it to the relative uncertainty.B6Consider the following line element, ds² = -dt² + a² (t) (dx² + dy²) + b²(t) dz², where a(t) and b(t) are distinct functions. State whether or not this line element obeys the Cosmological Principle, if applied to describe the universe on large scales. Justify your answer.A 50 g tennis ball revolves around a 2-kg bowling ball in a universe that is otherwise empty. If the orbit is circular with radius of 10 m, calculate: a) The speed of the tennis ball b) The period of its motion Take the tennis ball and the bowling ball as particles.Suppose an alien race on a distant planet tries to send a message to us, with a laser (light). However, we were unaware that there is a stellar-mass black hole almost directly between us and them. How would this complicate our attempts to locate their position in the Galaxy? O Gravitational lensing would make the signal appear to be coming from a different location O The information carried by the laser (light) would be altered O It would not matter The black hole absorbs all of the lightPhysics sample problems about vectors. Thought I knew how to do them but keep getting wrong answers.The Planck time is the unique interval of time that can be built out of G, c, and h. Some physicists think that time intervals shorter than the Planck time have no meaning. Using G = 6.7 x 10-11 kg-1 m3 s-2, c = 3 x 108 m s-1, and h = 6.6 x 10-34 kg m2 s-1, calculate the Planck time, in units of 10-43 s.AsapThere are two parts to this question. I need to know the years for both. I have tried 14,000,000,000, 17,908,900,000, 17.29 x 10^9, and 17.9089 x 10^9 for the hubble time and all those are wrong. I have tried 17,908,900,000, 17.29 x 10^9, and 17.9089 x 10^9 for the second question and those are wrong too.Please answer within 90 minutes.SEE MORE QUESTIONS