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The temperature of an spherical isolated black body falls from `T_(1)` and `T_(2)` in time t them time t isA. `t prop ((1)/(T_(2))-(1)/(T_(1)))`B. `t prop ((1)/(T_(2)^(2))-(1)/(T_(1)^(2)))`C. `t prop ((1)/(T_(2)^(3)) -(1)/(T_(1)^(3)))`D. `t prop ((1)/(T_(2)^(4))-(1)/(T_(1)^(4)))` |
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Answer» Correct Answer - A Power radiated `P = 4 pi r^(2) sigma T^(4)=-(ms(dT)/(dt))` `-(dT)/(T^(2))=(4 pi r^(2)sigma dt)/(m)=c dt` `-underset(T_(1))overset(T_(2))(int) =ct rArr t=K[(1)/(T_(2)^(3))-(1)/(T_(1)^(3))]`. |
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