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Two spherical black bodies of radii `R_(1)` and `R_(2)` and with surface temperature `T_(1)` and `T_(2)` respectively radiate the same power. `R_(1)//R_(2)` must be equal toA. `(T_(1))/(T_(2))`B. `(T_(2))/(T_(1))`C. `(T_(1)/T_(2))^(2)`D. `((T_(2))/(T_(1)^(2))` |
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Answer» Correct Answer - C `(Q)/(t)=sigma A T^(4)` i.e, power `=sigmaAT^(4)` `therefore` for same power `therefore A alpha (1)/(T^(4))` `therefore (A_(2))/(A_(1))=(T_(1)^(4))/(T_(2)^(4))` `therefore (4pi r_(2)^(2))/(4pir_(1)^(2))=(T_(1)^(4))/(T_(2)^(4))` `therefore (r_(2))/(r_(1))=((T_(1))/(T_(2)^(2))` |
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