1.

The luminousity of a star is 10000 times that of the sun. if the surface temperature of the sun is 6000 K, then the surface temperature of the star isA. 8446 KB. 84860 KC. 848600 KD. 60,000 K

Answer» Correct Answer - D
`P_(1)=I_(1)A_(1) and P_(2)=I_(2)A_(2)`
But `P_(1)=sigmaA_(1)T_(1)^(4) and P_(2)=sigmaA_(1)T_(1)^(4)`
`therefore sigmaT_(1)^(4)A_(1)=I_(1)A_(1)`
`sigmaT_(2)^(4)A_(2)=I_(2)A_(2)`
`((T_(2))/(T_(1)))^(4)=(I_(2))/(I_(1))`
`(T_(2))/(T_(1))=((I_(2))/(I_(1)))^(1//4)=(10^(4))^(1//4)=10`
`T_(2)=T_(1)xx10=6000K`


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