Suppose that a neutron star has a radius of 14 km and a temperature of 1,000,000 K. How luminous is it?
Answer-The luminosity of a star is given by the equation
Where L is the luminosity in Watts, R is the radius in
meters, S is the Stefan-Boltzmann constant
(5.67 x 10-8 Wm-2K-4), and T is the star's surface temperature in
Kelvin. Given R=14KM=14000M Tem=1*106
so L=4x 3.14x 14000x 14000x 5.67x 10-8x (1x 106)^4
L=13958.17x 10^22 watts.
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