Suppose the Sun expands so that its radius becomes 100 times its presents radius and its surface temperature becomes half to its present value. The total energy emitted by it then will increase by a factor of. . . . .. .

Suppose the Sun expands so that its radius becomes 100 times its prese

1.	Suppose the Sun expands so that its radius becomes 100 times its presents radius and its surface temperature becomes half to its present value. The total energy emitted by it then will increase by a factor of. . . . .. .
Answer» 104 625 256 16 Solution :From Stefan-Boltzmanns law, we have `E=esigmaAT^(4)` `:.EpropAT^(4)""(e sigma" = CONSTANT")` `:.E prop(4piR^(2))T^(4)""(becauseA=4piR^(2))` `:.E propR^(2)T^(4)""(4pi" is constant")` `(E_(2))/(E_(1))=((R_(2))/(R_(1)))^(2)((T_(2))/(T_(1)))^(4)` `=((1000R_(1))/(R_(1)))^(2)((T_(1))/(2T_(1)))^(4)` `=(100xx100)/(16)=625` `:.E_(2)=625E_(1)`