expression for escape velocity from earth's surface, if its radius becomes half and mass reduces to one third
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There are two basic parts to a black hole: the singularity and the event horizon. The event horizon is the "point of no return" around the black hole. It is not a physical surface, but a sphere surrounding the black hole that marks where the escape velocity is equal to the speed of light.
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Escape velocity of the planet from the surface is
V = √(2GM/R)
V² = 2GM/R
If R becomes R/2 & M becomes M/3 then
→ V² = 2G(M/3)/(R/2)
→ V² = 4GM/3R
→ V(new) = 2√2/√3(√2GM/R)
→ V(new) = 2√2/√3V
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