Another Black Hole question

[The_Pink_God]

How much would create a black hole the size of a pupil is in AP?

 

[Catpija]

Using the Formula from VSB Wiki

R = 2GM / c²

G = Gravitational Constant
M = Mass
C = Speed of Light on vacuum
R = Schwarzschild radius (radius of the event horizon)

The Average Pupil diameter varies from 2 to 4 mm in diameter in bright light to 4 to 8 mm in the dark according to this

we gonna use the mid one (4mm) , 4mm is the diameter,that means the radius is 2mm or 0,002 m

Gravitational Constant is 6.67408 × 10^-11

Speed of Light in Vacuum is 299792458

Lets Calculate it

0,002 = 2 x 6.67408 × 10^-11 x M / 299792458^2

0,002 = 1.334816 × 10^-10 x M / 8.9875518e+16

0,002 x 8.9875518e+16 = 1.334816 × 10^-10 x M

1,797510316e+14 = 1.334816e-10 x M

M = 1,797510316e+14 / 1.334816e-10

M = 1.3e+24 kg

that is 1/5 of the earth mass,meaning it would take 1/5 of the energy needed to destroy earth,which is 5.944x10^22 Tonnes of TNT

Divide it by 5 and you get 1,188 x 10^22 Tonnes of TNT or Small Planet Level

 

[The_Pink_God]

Thank you very much