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Schwarzschild Radius

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Suppose two black holes meet and coalesce into one larger black hole. If they have the same mass M and Schwarzschild radius R,

a) Express the new single black hole's Schwarzschild radius as a multiple of R.

b) Express the average density of the new single black hole in terms of the average density (rho) of each of the original black holes.

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The solution discusses Schwarzschild radius.

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