Chapter 1: Q38E (page 427)

Mini Black Holes.Cosmologists have speculatedthat black holes the size of a proton could have formed during theearly days of the Big Bang when the universe began. If we take thediameter of a proton to be $1.0 \times 10^{- 15}$ m, what would be the massof a mini black hole?

Short Answer

Expert verified

The mass of a mini hole is $3.4 \times 10^{11} kg$

Step by step solution

Identification of the given data

The schwarzchild radius is given by,

Diameter = $1.0 \times 10^{- 15}$ m

Determination of the mass

$R_{s} = \frac{2 Gm}{c^{2}} m = \frac{c^{2} R_{s}}{2 G} Here, R_{s} = 0.5 \times 10^{- 15} m, G = 6.67 \times 10^{- 11} {Nm}^{2} / {kg}^{2}, m = \frac{c^{2} R_{s}}{2 G} = \frac{{(3 \times 10^{8})}^{2} \times (0.5 \times 10^{- 12})}{2 \times (6.67 \times 10^{- 11})} = 3.4 \times 10^{11} kg$

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Mini Black Holes.Cosmologists have speculatedthat black holes the size of a proton could have formed during theearly days of the Big Bang when the universe began. If we take thediameter of a proton to be $1.0 \times 10^{- 15}$ m, what would be the massof a mini black hole?

Short Answer

Step by step solution

Identification of the given data

Determination of the mass

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Most popular questions from this chapter

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Mini Black Holes.Cosmologists have speculatedthat black holes the size of a proton could have formed during theearly days of the Big Bang when the universe began. If we take thediameter of a proton to be 1.0×10-15m, what would be the massof a mini black hole?

Short Answer

Step by step solution

Identification of the given data

Determination of the mass

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Thermodynamics

Atoms and Radioactivity

Scientific Method Physics

Fluids

Translational Dynamics

Engineering Physics

Study anywhere. Anytime. Across all devices.

Mini Black Holes.Cosmologists have speculatedthat black holes the size of a proton could have formed during theearly days of the Big Bang when the universe began. If we take thediameter of a proton to be $1.0 \times 10^{- 15}$ m, what would be the massof a mini black hole?