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The radiation emitted by a star `A` is `1000` times that of the sun. If the surface temperature of the sun and star `A` are `6000 K` and `2000 K` respectively. The ratio of the radii of the star `A` and the sun is:A. `300 : 1`B. `600 : 1`C. `900 : 1`D. `1200 : 1` |
Answer» Correct Answer - C According to Stefan-Boltzmann law, the energy radiated per second through the surface of area `A` is given by `E = sigma AT^(4)` `:. (E_1)/(E_2) = (A_1)/(A_2) ((T_1)/(T_2))^(4)` or, `10000 = (r_(1)^(2))/(r_(2)^(2))(2000/6000)^(4)` or,`(r_(1)^(2))/(r_(2)^(2))=(30)^(4)` or `r_(1):r_(2) = 900:1`. |
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