Question

What would your estimate be for the age of the universe if you measured hubble's constant to be 11 kilometers per second per million light-years?

Answer 1

By using Hubble's constant H₀, the estimated age of the universe would be 27,269,816,110  years.

As we know that the age of the universe is something near to the time the galaxies needed to reach their current distance:

T = D/V

where T is the time the galaxies needed, D is distance and V is speed.

By using Hubble's law we can use the equation

V = H₀*D

where H₀ is Hubble's constant

By combining these 2 equations, we get

T = D/(H₀*D) = 1/H₀ .............(A)

In conclusion, the age of the universe is something near the inverse of Hubble's constant.

From the question above, we know that:

H₀ = 11 km/s/Mly

By using equation A we get

T = 1/(11 km/s*Mly)

T = (1/11)  s*Mly/km

Convert 1 million light-years to km by (1 ly = 9.461*10^12 km)

T = (1/11) s*Mly/km

T = (1/11)*9.461*10^18 s

T = 8.6009*10^17 s

Convert to years by (1 year = 3.154*10^7 s)

T = 8.6009*10^17 s

T = (8.6009*10^17 s/3.154*10^7 s)* 1 yea

T = 27,269,816,110 years.

Learn more about Hubble's constant at: brainly.com/question/27051032

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