Please show work: There was a great debate concerning the value of the Hubble co

Question

Please show work:

There was a great debate concerning the value of the Hubble constant. (NOTE: The presently accepted value of the Hubble constant is 72 km/s/Mpc as listed in your formula sheet.) One party believed the Hubble constant (Ho) was closer to 50 km/s/Mpc and the other party believed the Hubble constant was closer to 100 km/s/Mpc. Assuming you measure a recessional velocity of a galaxy of 10,000 km/s, what is the distance to that galaxy given the two different Hubble constants

(a) Distance to galaxy using 100 km/s/Mpc = _____ Mpc?(b) Distance to galaxy using 50 km/s/Mpc = _____ Mpc?(c) How do the different Hubble constants affect the calculated age of the universe?

Please show work: There was a great debate concerning the value of the Hubble constant. (NOTE: The presently accepted value of the Hubble constant is 72 km/s/Mpc as listed in your formula sheet.) One party believed the Hubble constant (Ho) was closer to 50 km/s/Mpc and the other party believed the Hubble constant was closer to 100 km/s/Mpc. Assuming you measure a recessional velocity of a galaxy of 10,000 km/s, what is the distance to that galaxy given the two different Hubble constants Distance to galaxy using 100 km/s/Mpc = _____ Mpc?(b) Distance to galaxy using 50 km/s/Mpc = _____ Mpc?(c) How do the different Hubble constants affect the calculated age of the universe?

Explanation / Answer

Recessional Velocity = Hubble's constant times distance. V = Ho D

V = 10000 km/s

a)

H0 = 100km/s/Mpc

D= V/H0 = 10000/100 = 100 Mpc

b)

H0 = 50 km/s/Mpc

D = V/H0 = 10000/50 = 200 Mpc

c)

age of the universe if T = 1/H0

so if Hubble constant is more age of universe is less

if hubble constant is less age of universe is more..

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