What is the Schwarzschild radius of a 3 kg rabbit? Hint – find the mass of...

What is the Schwarzschild radius of a 3 kg rabbit? Hint – find the mass of the rabbit in solar mass units first. 1 solar mass = 1.99 X 1030 kg

Expert Solution

Schwarzschild radius or gravitational radius is a physical parameter corresponding to the radius defining the event horizon of a Schwarzschild black hole. In other words it is the radius below which the gravitational attraction between the particles of a body must casue it to undergo irreversible gravitational collapse.

The Schwarzschild (Rg) radius of a body of mass M is given by,

Where,

G is the universal gravitational constant = 6.67x10-11 Nm2/kg2

M is the mass of the body=3kg (as given in the question)

c is the velocity of light = 3x108 m/s

= 4.4467x10-27 m (Ans.)

If mass is to be used in terms of Solar mass, then also the equation remains the same, but final value differs,

Given,

1 solar mass = 1.99 X 1030 kg

therefore, mass of rabbit, M = 3kg =1.5x10-30 kg

= 2.2233x10-57 m (Ans.)

genius_generous answered 2 years ago

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