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A composite metal bar of uniform section is made up of length \( 25 \mathrm{~cm} \) of copper, \( 10 \mathrm{~cm} \) of nickel and \( 15 \mathrm{~cm} \) of
\( \mathrm{P} \) aluminium. Each part being in perfect thermal contact with the adjoining part. The copper end of the composite rod is
W maintained at \( 100^{\circ} \mathrm{C} \) and the aluminium end at \( 0^{\circ} \mathrm{C} \). The whole rod is covered with belt so that no heat loss occurs at the sides. If \( K_{\mathrm{Cu}}=2 K_{\mathrm{Al}} \) and \( K_{\mathrm{Al}}=3 K_{\mathrm{Ni}} \), then what will be the temperatures of \( \mathrm{Cu}-\mathrm{Ni} \) and \( \mathrm{Ni}-\mathrm{Al} \) junctions respectively
[Similar KCET 2012]
\begin{tabular}{|c|c|c|}
\hline \( \mathrm{Cu} \) & \( \mathrm{Ni} \) & \( \mathrm{Al} \) \\
\hline \( 100^{\circ} \mathrm{C} \) & & \\
\hline
\end{tabular}
(a) \( 23.33^{\circ} \mathrm{C} \) and \( 78.8^{\circ} \mathrm{C} \)
(b) \( 83.33^{\circ} \mathrm{C} \) and \( 20^{\circ} \mathrm{C} \)
(c) \( 50^{\circ} \mathrm{C} \) and \( 30^{\circ} \mathrm{C} \)
(d) \( 30^{\circ} \mathrm{C} \) and \( 50^{\circ} \mathrm{C} \)
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