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Sagot :
It is proved for gravitational radius that Rg=GMs/c^2 .
Given,
The mass of sun = Ms
Sphere of radius = Rg
Sun collapses to a sphere such that the work required to remove a small mass (m) from the surface would be equal to its rest energy mc^2 .
The given radius (Rg) is called as gravitational radius for sun.
We know,
gravitational potential energy Ug = G ×Ms×m/Rg
given, the rest energy, E =mc^2
As it is given that work required to remove small mass is equal to rest energy,
thus, Ug=E
G×Ms×m/Rg = mc^2
Rg =GMs/c^2
Hence, it is proved for gravitational radius that Rg=GMs/c^2 .
What is gravitational potential energy?
Total work done in assembling bodies together,in their respective places, is called gravitational potential energy of the system.
Learn more about gravitational potential energy here:
brainly.com/question/21555779
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