Estimating age of the Universe using Hubble's formula
Hubble's formula: The receding speed of the galaxies is proportional to the distance between them.
Mathematically, v = H r; here H is a constant known as Hubble Constant. Now the receding speed can be written as v = r/t; here r is the distance between the galaxies and t is the time duration starting from when the galaxies were merged (at the time of big bang). Therefore we can rewrite Hubble's formula as follows
r/t = H r
or, t = 1/H
We know that Hubble constant is H = (72.1 km/s)/Mpc = 2.336357745 x 10^(-18) /s ;
So, age of the universe is,
t = 1/H
= 4.280166436 x 10^17 s
= 7.133610726 x 10^15 m
= 1.188935121 x 10^14 h
= 4.953896337 x 10^12 d
= 1.356302899 x 10^10 y
= 13.56 Billion Years (approximately)
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