Assume the average density of the Universe is equal to the critical density. (a) Prove that the age of the Universe is given by 2/(3H). (b) Calculate 2/(3H) and express it in years.
Stellar evolution
We may see thousands of stars in the dark sky. Our universe consists of billions of stars. Stars may appear tiny to us but they are huge balls of gasses. Sun is a star of average size. Some stars are even a thousand times larger than the sun. The stars do not exist forever they have a certain lifetime. The life span of the sun is about 10 billion years. The star undergoes various changes during its lifetime, this process is called stellar evolution. The structure of the sun-like star is shown below.
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Assume the average density of the Universe is equal to the critical density. (a) Prove that the age of the Universe is given by 2/(3H). (b) Calculate 2/(3H) and express it in years.
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