1. Assuming a spatially flat Universe, find the time dependence of: (a) the density of matter when the Universe is radiation dominated and (b) the density of radiation when the Universe is matter dominated.
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- AsapOver the lifetime of the Universe, the dynamics of its expansion are dominated by the density of different constituents at different times. Ignoring expansion, what is the proper order for which constituent dominates from early to later times? Select one: a. First matter, then dark energy, then radiation b. First radiation, then matter, then dark energy c. First dark energy, then radiation, then matter d. First radiation, then dark energy, then matterPlease answer within 90 minutes.
- To measure the muon magnetic moment a 2.9-T uniform magnetic field is used. How much energy is stored in the field if the experimental chamber where the field is created has dimensions of 65 cm×35 cm×60 cm? The energy, ? How long will it take to “switch on” the field if the experiment uses a 1.5-kW power supply? Time ?What are fermions and what's the difference between it and bosons?Briefly explain what is meant by “particle horizon” and “event horizon” in cosmology. Calculate the physical particle horizon, RH(t), at time t. Assume a flat FRW universe whichis dominated by a fluid that gives rise to scale factor evolution where n is a constant with 0 < n < 1, and a(t0) = a0.
- The quantum wave function for a system specifies its temperature, and contains all possible information about the universe. True FalseWhat is the fundamental difference between bosons and fermions in terms of their quantum mechanical behavior and how does this difference affect their properties and interactions?In Chapter 7 we discussed the need for the addition of the cosmological constant A to the Einstein Field Equations and further to our derived equations. iii. Starting with the fluid equation, show that the pressure exerted due to the cosmological constant is PA = -Pac? (Recall that we define an energy density due to the cosmological constant as the following scaled parameter PA = THIS IS A COSMOLOGY QUESTION!!!!!!!!