The radiation emitted by a star A is 10,000 times that of the Sun. If the surface temperature of the Sun and the star are 6000 K and 2000 K respectively, the ratio of the radius of star A and the Sun is. . . .. . . .

The radiation emitted by a star A is 10,000 times that of the Sun. If

1.	The radiation emitted by a star A is 10,000 times that of the Sun. If the surface temperature of the Sun and the star are 6000 K and 2000 K respectively, the ratio of the radius of star A and the Sun is. . . .. . . .
Answer» `300:1` `600:1` `900:1` `1200:1` SOLUTION :From Stefan - Boltzmann.s law, we have, `W=esigmaAT^(4)=esigma(4piR^(2))T^(4)(becauseA=4piR^(2))` `:.WpropR^(2)T^(4)` `:.(W_(1))/(W_(2))=((R_(1))/(R_(2)))^(2)((T_(1))/(T_(2)))^(4)` `W_(1)=10000W_(2),T_(1)=2000K,T_(2)=6000K` `(100)^(2)=((R_(1))/(R_(2)))^(2)((2000)/(6000))^(4)` `:.100=(R_(1))/(R_(2))XX(1/3)^(2)` `:.(R_(1))/(R_(2))=(900)/(1)` `:.(R_(1))/(R_(2))=900:1`