Explanations & Calculations
- Any object to attain the blackhole status is defined by a concept of Schwarzschild radius.
- Any object reduced beyond volume of a sphere of a Schwarzschild radius, is expected to behave as a blackhole.
- Schwarzschild radius is given by "r_s = \\frac{2GM}{c^2}" where M & c are the mass of the object and the speed of light respectively.
- Therefore,
"\\qquad\\qquad\n\\begin{aligned}\n\\small r_s &= \\small \\frac{2( 6.67\\times10^{-11}Nm^2kg^{-2})\n( 5.9\\times 10^{24}kg)}{(3\\times 10^8ms^{-1})^2}\\\\\n\\small &= \\small 8.745\\times10^{-3}m=8.745 mm\n\\end{aligned}"
- Therefore, the Earth should be compressed down to a sphere of radius 8.745 mm.
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