Age of universe

Level 2

Hubble's law is the name for the observation in physical cosmology that: (1) objects observed in deep space are found to have a Doppler shift interpretable as relative velocity away from the Earth; and (2) that this Doppler-shift-measured velocity, of various galaxies receding from the Earth, is approximately proportional to their distance from the Earth. Following equation shows Hubble's law. Then what is the age of universe according to Hubble''s law? v = H r , where v : velocity away from the Earth H Hubble constant, and r = distance from the Earth. \begin{aligned} v &= Hr \text{, where} \\ v &: \text{ velocity away from the Earth} \\ H & \text{ Hubble constant, and} \\ r &= \text{ distance from the Earth.} \end{aligned}

1 H \frac{1}{H} Hr 1 r \frac{1}{r} 1 H r \frac{1}{Hr}

Lakshan Dumpa by Lakshan Dumpa , 24, India

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2 solutions

Orlando Sneed
Jul 17, 2018

Using the equation for velocity solved for in terms of time: t = r v \frac {r}{v}
Using Hubble's Law, we know that v=Hr
(1) t = r v \frac {r}{v}
Substitute for velocity in equation (1) using Hubble's Law: r H ∗ r \frac {r}{H*r}
Simplify: 1 H \frac {1}{H}
It then follows that 1 H \frac {1}{H} can be used to calculate the age (time) of the Universe.

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Snehal Shekatkar
Feb 16, 2014

I am not sure about the correct numerical value of the answer but that is the only entity with the dimension of time.

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