Question

What is the mass, in ?Sun, , of a black hole whose Schwarzschild radius is 6.8×102 km? (Round your answer to two significant figures. For example, 182.4 would be rounded to 180.)

Answer 1

Given : R_s = 6.8 ×10² km =6.8×10⁵ m

Constant : G = 6.67×10^-11 m³kg^-1s^-2 ; c = 3×10⁸ m/s

Solution :

The Schwarzschild radius (R_s) is related to M_sun by the following equation:

Rearranging to find mass of sun:

Putting values to get :

= 4.59×10³² kg

Answer : 4.59×10³² kg ( or 5.00 ×10³² kg Rounded)