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Problem 3. The critical mass density of the Universe at the current epoch is given by 3 Pc,0 = H², 8TG where the Hubble parameter at the current epoch is Ho 70±7 km/s/Mpc. 1. Calculate the value of the critical mass density in the current epoch. Show your calculation clearly. 2. Calculate the uncertainty in the value of the critical mass density in the current epoch. Show all steps clearly

Problem 3. The critical mass density of the Universe at the current epoch is given by 3 Pc,0 = H², 8TG where the Hubble parameter at the current epoch is Ho 70±7 km/s/Mpc. 1. Calculate the value of the critical mass density in the current epoch. Show your calculation clearly. 2. Calculate the uncertainty in the value of the critical mass density in the current epoch. Show all steps clearly

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Problem 3. The critical mass density of the Universe at the current epoch is given by 3 8TG PC,0 = -Ho where the Hubble parameter at the current epoch is Ho 70±7 km/s/Mpc. 1. Calculate the value of the critical mass density in the current epoch. Show your calculation clearly. 2. Calculate the uncertainty in the value of the critical mass density in the current epoch. Show all steps clearly.
Transcribed Image Text:Problem 3. The critical mass density of the Universe at the current epoch is given by 3 8TG PC,0 = -Ho where the Hubble parameter at the current epoch is Ho 70±7 km/s/Mpc. 1. Calculate the value of the critical mass density in the current epoch. Show your calculation clearly. 2. Calculate the uncertainty in the value of the critical mass density in the current epoch. Show all steps clearly.
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1. the critical mass density of the universe is given by, 

ρc,0=38πGH02,H0=70 km/s/Mpc

1 Mpc=3.09×1019km70 km/s/Mpc=70kms×13.09×1019km=22.6×10-19 s-1

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