Our free Black Hole Temperature Calculator is helpful to calculate the temperature of a black hole in the dark environment easily. Just you need to give the mass of the black hole and press the calculate button to get the result in a short span of time.
The following is the step by step process to calculate the black body temperature. Go through these guiding principles to find the answer.
A black body is a theoretical object that absorbs all radiation that gets to it. The black body temperature depends on the absorbed radiation.
A black hole is a black body and follows rules of emission and absorption. The temperature of a black hole depends on the mass and how it will emit radiation called Hawking radiation.
The black hole temperature formula is as follows:
T = ℏ c³ / (8 * π * G * M * Kb)
M is the black hole mass
ℏ is the reduced Planck constant and its value is 1.0545718001 x 10-34
c is the speed of light
G is the universal gravitational constant and value is 6.67408 x 10-11
Kb is the Boltzmann constant and value is 1.380649 x 10-23
T is the black hole temperature
Question: If the mass of the black hole is 15 times weight of the sun. Find the black hole temperature?
Mass of the black hole M = 15 suns
Black hole temperature is T = ℏ c³ / (8 * π * G * M * Kb)
T = 1.0545718001 x 10-34 x (299792458)³ / (8 * π * 6.67408 x 10-11 * 15 * 1.380649 x 10-23)
= 4.1145 x 10-9 K
Therefore, the tempera' of a black hole is 4.1145 x 10-9 K
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1. How to measure the temperature of a black hole?
The simple formula used to measure the temperature of a black hole is T = 3/(8πGMKb). Students have to provide all the constant values along with the mass of the object and simplify to obtain the temperature of a black hole.
2. What are the types of black holes?
The 4 different types of black holes are stellar, intermediate, supermassive and miniature. The known way of a black hole forms is by stellar death.
3. What is the temperature of a black hole?
Black holes are freezing cold inside but very hot just outside. The internal temperature of a black hole with the mass of the sun is around one-millionth of degrees above zero.
4. Can the Sun be a black hole?
No, the sun can't become a black hole. Because it needs 20 times more massive to end its life as a black hole.