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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) A star in its prime age is said to be under equilibrium due to gravitational pull and outward radiation pressure (rho).Consider the shell of thickness dr .If the pressure on this shell is dp then the correct equation is (G is universal gravitational constant)

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ANSWER :`(DP)/(DR)=-(GM_r)/r^2`


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