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Black Hole Temperature Calculator

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.

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Black Hole Temperature Calculator: Are you been searching for a tool to compute the black hole temperature? If yes, then stay on this page. It gives an accurate and detailed explanation of how to calculate the black hole temperature in less time by just taking the object mass. In the following sections, you can also check the formula of Temperature of a Black Hole and solved questions on it.

Steps to Find Temperature of a Black Hole

The following is the step by step process to calculate the black body temperature. Go through these guiding principles to find the answer.

  • Let us take the mass of the black hole.
  • Multiply the planck's constant by three times the speed of light.
  • Multiply the Boltzmann constant, gravitational constant, mass and 8 times the pie.
  • Divide the product from step 2 by step 3.

Black Hole Temperature Equation

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)

Where,

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

Example

Question: If the mass of the black hole is 15 times weight of the sun. Find the black hole temperature?

Solution:

Given that

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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FAQ's on Black Hole Temperature Calculator

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.


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