Luminosity of a distant star is 16000 times that of the Sun. If the surface temperature of the Sun is 5890 K, then find the surface temperature of the star.

Explanation

Given , `E_("star")=16000E_(sun)" "T_("sun")=5890K" "T_("star")=?`
Applying `(E_1)/(E_2)=((T_1)/(T_2))^4` we get `16000=((T_1)/(T_2))^4`
`:.(T_1)/(T_2)=(16000)^(1/4)=11.2468`
hence `T_1=11.2468T_2=11.2468xx5890`
`T_1=66243.8K`