White dwarf Calculate the mass-radius relation for white dwarfs,...

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White dwarf

Calculate the mass-radius relation for white dwarfs, as follows:

Use the exact expression for the Fermi momentum and the non-relativistic expression for pressure of a degenerate electron gas. Assume the white dwarf is pure ionized 12C. Integrate the equation of hydrostatic equilibrium for a constant density white dwarf to get the central pressure and hence the mass radius relation. Give your final result as R as a function of (M/Msun) with a numerical coefficient.

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