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A star can be considered as a shpherical ball of hot gas of radius R.Inside the star the density of the gas is rho_r at a radius r and mass of the gas within this region is M_r.The correct differential equation for variation of mass with respect to radius ((dM_r)/(dt)) is (refer to the adjacent figure) In astronomy order of magnitude estimation plays an important role. The derivative (dp)/(dr) can be taken difference ratio (DeltaP)/(Deltar) . Consider the star has a radius R, pressure at its centre is P_C and pressure at outer layer is zero if the average mass is M_0/2 and average radius R_0/2 then the expression for P_C is |
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