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Atom-sized Black Hole Mass (Posted on 2022-12-08) Difficulty: 3 of 5
Consider an imaginary scenario, where a black hole has the size of a hydrogen atom.
What would be the mass of the black hole?

See The Solution Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

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my calculations | Comment 2 of 3 |
Based on the table in the Wikipedia article "Schwarzschild radius", the radius of a black hoke can be given as about 1.483 x 10^-27 meters per kilogram.

Google gives the radius of the hydrogen atom as 120 picometers, or 1.2 x 10^-10 m.

1.2 x 10^-10 m / (1.483 x 10^-27 m/kg)= 8.1 x 10^16 kg

As a matter of curiosity, this black hole is so small that, according to


it will radiate its mass rather rapidly, eventually evaporating due to Hawking radiation in 8.3 years, so this is the ultimate fate of black holes 8.3 years before they go out of existence.

This, I assume is the average time to evaporate. To get its half-life we multiply by the natural log of 2, so I guess you'd say its half-life is about 5.75 years.


  Posted by Charlie on 2022-12-08 10:00:35
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