Star X has radius and surface temperature

PHYSICS · Multi-part · AP · Physics 2: Algebra-based · Modern Physics · Modern Physics

Problem

Star X has radius 2R⊙2R_{\odot} and surface temperature 1.5T⊙1.5T_{\odot}, where R⊙R_{\odot} and T⊙T_{\odot} are the Sun’s radius and surface temperature. (i) Write an expression for the total power output (luminosity) LL of a star in terms of its radius RR and surface temperature TT. (ii) Hence, find the ratio LX/L⊙L_X/L_{\odot}.

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