27) Calculate the time it would take for 5 solar mass black to radiate its energy.
27) Calculate the time it would take for 5 solar mass black to radiate its energy.
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Transcribed Image Text:27) Calculate the time it would take for 5 solar mass black to radiate its energy.
Expert Solution

Concept and Principle:
- When stars with mass greater than 3 or 4 solar mass die the gravitational collapse is so large that nothing leaves the collapsed core. It becomes a black hole.
- Even though nothing is capable of leaving a black hole sometimes pair production takes place near the event horizon. When this happens one particle is absorbed while the other escapes with some energy from the black hole.
- The lifetime or the time is taken for a black hole to completely evaporate is given by,
Here M is the mass of the black hole and α is a constant with a value of 3.96 × 1015 kg3∙s-1.
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