his a question on Cosmology: Suppose that you have a flat universe that has matter and dark energy with wd = -2/3 & Ωd,0 =0.7 At the time when light with z = 1 was emitted from a distant galaxy what was the ratio Ɛd /Ɛm ?

Q: If p = 2.7 x 10-27 kgm-3, what is the radius of curvature Ro of Einstein's static universe? How long…

A: Given: Density,ρ=2.7×10-27kg/m3Speed of light,c=3×108m/sEinstein's constant,κ=1.86×10-26m/kg Albert…

Q: (a) Calculate the approximate age of the universe from the average value of the Hubble constant, H0…

A: ( a ) To find the time  t =dv t = 1Mly106ly1Mly9.46×1012km1ly20km/s t = 4.73 x 1017s

Q: What mechanism can simultaneously solve both the flatness and horizon problems in cosmology?

A: What mechanism can simultaneously solve both the flatness and horizon problems in cosmology

Q: Suppose the energy density of the cosmological constant is equal to the present critical density En…

A: Einstein came up with the universal or cosmological constant to balance the calculations in his…

Q: responding to a claim that the number of grains of sand was infinite, calculated that the number of…

A: Given information: The Archimedes estimate of the number of grains needed to fill the universe (n1)…

Q: a) Define the term “standard candle” as used in cosmology b). The flux is defined as f(Dlum) = L…

A:

Q: The Friedmann equation in a matter-dominated universe with curvature is given by 87G -pR² –k where R…

A: Given Friedmann equation: R˙=8πG3ρR2-k We need to show that the parametric solution of the equation…

Q: Explain what is meant by the term cosmological redshift, and contrast it with the Doppler shift that…

A: A Doppler red shift is the expansion of the wavelength and decrease in the frequency when an the…

Q: The matter density in the Universe today is ?m=2.7×10−27kgm−3. What would be the value of the…

A: Given that the matter density in the Universe today is 2.7×10-27 kg/m3 and the Hubble constant is 38…

Q: Consider the following line element, ds² = -dt² + a² (t) (dx² + dy²) + b² (t) dz², where a(t) and…

A: To state whether or not the given line element obeys the Cosmologial Principle.

Q: Suppose that the universe were full of spherical objects, each of mass m and radius r . If the…

A:

Q: Suppose that the universe were full of spherical objects, each of mass m and radius r . If the…

A: Given:  Mass of one spherical ball = 4 kg radius of the one spherical ball = 0.0407 m Spherical…

Q: 5.4 In a negatively curved universe containing only matter (2, < 1, K = -1), show that the present…

A: Given, the universe contains only matter and Ωo&lt;1 So scale factor will be a=12ΩoΩo-1coshθ-1…

Q: Does the universe have a center? Explain.

A: No, it does not have a centre. As the big Bang theory suggests.

Q: Explain why the cosmological principle requires that H0 must have the same value everywhere in…

A: Given Explain why the cosmological principle requires that H0 must have the same value everywhere in…

Q: Question A7 Consider the following line element, ds² = - dt² + a² (t) (da² + dy²) + b² (t) dz²,…

A: The objective of the question is to determine whether the given line element obeys the Cosmological…

Q: To get an idea of how empty deep space is on the average, perform the following calculations:  (a)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subpartsfor…

Q: Why can't we see past the cosmological horizon? O The universe extends only to this horizon. O…

A: We can't see past the cosmological horizon because the only things that we saw on the night sky is…

Q: Suppose that the universe were full of spherical objects, each of mass m and radius r . If the…

A: Critical density is the average density required for the universe to halt its expansion. Such a…

Q: Consider the following line element, ds^2 = −dt^2 + a^2(t) (dx^2 + dy^2) + b^2(t) dz^2, where a(t)…

A: The objective of the question is to determine whether the given line element obeys the Cosmological…

Q: Use Wien’s law to answer the following questions: (a) The cosmic background radiation peaks in…

A: According to Wien’s law, The temperature in this case can be obtained as

Q: a)Define the term “standard candle” as used in cosmology.  b)The flux is defined asf(Dlum) =…

A:

Q: y for

A: The universe critical density can be denoted as, ρcrit=3Ho28πG Gravitational constant is…

Q: If some unknown cause of red shift—such as light becoming “tired” from traveling long distances…

A:

Q: Consider the following line element, ds^2 = −dt^2 + a^2 (t) (dx^2 + dy^2 ) + b^2 (t) dz^2 , where…

A: Required:  State whether or not this line element obeys the Cosmological Principle, if applied to…

Q: he photons that make up the cosmic microwave background were emitted about 380,000 years after the…

A: Given data, Side of the cube in today's universe = 1 m Change in the length of the universe in…

Q: The relativistic redshift is parametrized by z and given by 41-1 do-de Xe In terms of the scale…

A: Disclaimer: “Since you have asked multiple question, we will solve the first question for you. If…

Q: The visible section of the Universe is a sphere centered on the bridge of your nose, with radius…

A: a) The visible thing is very limited to the universe's finite age and light's speed. Time is less…

Q: The time before which we don’t know what happened in the universe (10-43 s) is called the Planck…

A: h=6.62×10-34JsG=6.67×10-11Nm2/kg2c=3×108m/sa)tP=hmGnCIT…