InterviewSolution
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InterviewSolution
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Same quantity of ice is filled in each of the two metal container P and Q having the same size, shape and will thickness but make of different materials. The containers are kept in identical surroundings, The ice in P melts completely in time `t_(1)`, whereas in Q takes a time `t_(2)`. The ratio of thermal conductivities of hte materials of P and Q is:A. `t_(2):t_(1)`B. `t_(1):t_(2)`C. `t_(1)^(2):t_(2)^(2)`D. `t_(2)^(2):t_(1)^(2)` |
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Answer» Correct Answer - A a) We know that, relation between the temperature gradient (TG) and thermal conductivity (K), `(dQ)/(dt) = -KA(d(theta))/(dx)=-KAxx(TG)` i.e., `TG alpha 1/K` `(dQ)/(dt)` = constant or `Kalpha1/t rArrK_(1)alpha1/(t_(1))`...........(i) `K_(2)alpha1/t_(2)`..............(ii) From the Eqs. (i) and (ii), we get `K_(1)/K_(2)=(1//t_(1))/(1//t_(2)) rArrK_(1):K_(2)=t_(2):t_(1)` |
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