Earth receives solar power at a rate of $\;8.2 Jcm^{-2}min^{-1}\;$ . Assuming that sun behaves like blackbody & the angle it substends on earth is $\;0.50^{0}\;$ , calculate its surface temperature - $\;(T=6 \times 10^{-8} W m^{-2}K^{-4})$

Question

$(a)\;5880K\qquad(b)\;6880K\qquad(c)\;7880K\qquad(d)\;8880K$