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The resistance of an electrical toaster has a temperature dependence given by R(T)=R0[1+α(TT0)] in its range of operation. At T_0=300 K, R=100 Ω and at T=500 K, R=120 Ω. The toaster is connected to a voltage source at 200 V and its temperature is raised at a constant rate from 300 to 500 K in 30 s. The total work done in raising the temperature is

\begin{array}{1 1}(1) 400 \; \ell n \frac{1.5}{1.3} J \\ (2) 200\; \ell n \frac{2}{3} J \\ (3) 400\; \ell n \frac{5}{6} J \\ (4) 60,000 \ell n \frac{6}{5} J \end{array}

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