Black holes aren't black -after Hawking they shine!
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The Core

Calculating Hawking radiation

Let's do some calculations!

What kind of radiation would be sent from a black hole the mass of Earth?


We know the Energy of a photon of this Radiation:

E=h*c^3/16*pi*G*M = 8.920*10^-25J

This doesn't tell us a lot, does it? The frequency would be more interesting. No problem:

E=h*f

Putting in the energy:

f = c^3/16*pi*G*M


The frequency of Hawking radiation emintted by a black hole the mass of Earth this is:

f = c^3/16*pi*G*M = 1.346GHz

Such a black hole would send out microwaves as used for radar!

radar

A photo showing a radar of the Space Radar Laboratory.

NASA Photo ID: STS059-215-022 Date Taken: 04/10/94
Courtesy of NIX NASA Image Exchange.


What kind of radiation radiates from the black hole in the Story "The Hole Man"?

This black hole weights 10^11kg.

f=8*10^22Hz

Help! This is hard gamma-radiation! We should check if it's a dangerous amount later on.


How heavy does a black hole have to be in order to emit visible light?

The frequency of visible light lies between f1=4*10^14Hz and f2=8.2*10^14Hz.

M=8.037*10^33/f kgHz


A black hole of   2*10619kg  will emit a dark red and a black hole of   9.8*10^18kg will emit a deep violet light.

Active Galaxy M87

Scientists suspect that a black hole weighing 3 billion Suns is lying at the center of galaxy M87.
Calculate what kind of radiation will it emit!

Courtesy of NASA and
K. Gebhardt (Lick Observatory)
NIX NASA Image Exchange.

 

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"Black holes aren't black - After Hawking they shine!"
Presented by Angie, Matthias and Thorsten
Team C007571,ThinkQuest Internet Challenge 2000.
Last modified: 2000-08-02.