Monday 3 December 2012

New question related to schwarzschild radius


Sun massed black-hole?

* Q.1. Calculate the radius of a black hole that has the same Mass of Sun.

Ans:       r_\mathrm{s} = \frac{2Gm}{c^2},     this is our Formula
$$  m =\text{ Mass of the sun} = 1.989x10^30 kg $$
  
$$ G =\text{ gravitational constant} = 6.672x10^-11 Nm^2/kg^2 $$

$$  c = 2.9979x10^8 m/s $$
so:
         
$$  R  =2 * 6.672x10^-11 * 1.989x10^30/(2.9979x10^8)^2  $$

$$  R  = (  2.65412x10^20  ) / (  8.98740441x10^16  ) $$

$$  R  = 2953.156973 m   or   2.953 km $$
              

                                 

* I am currently reading this book  "voyages through the universe ,third edition by Frankoi ,Morrison ,Wolff ",this book has some exercise which have no answers ,here I am solving the question on my own for knowledge .













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