iran-konkur 2019 Q193

iran-konkur · Other · konkur-riazi_1398_specialized_new-curriculum Not Maths
193. A uniform rod of length $L$ is connected between two sources at temperatures $100\,^\circ\text{C}$ and $0\,^\circ\text{C}$. What fraction $L_1$ of $L$ from the left end should point M be located so that the temperature at point M is 30 degrees Celsius? (Heat exchange between the rod's surface and the environment is neglected.)
[Figure: A uniform rod of length $L$ with the left end at $100\,^\circ\text{C}$ and the right end at $0\,^\circ\text{C}$. Point M is located at distance $L_1$ from the left end.]
  • [(1)] 0.3
  • [(2)] 0.5
  • [(3)] 0.7
  • [(4)] 0.75

\textbf{193.} A uniform rod of length $L$ is connected between two sources at temperatures $100\,^\circ\text{C}$ and $0\,^\circ\text{C}$. What fraction $L_1$ of $L$ from the left end should point M be located so that the temperature at point M is 30 degrees Celsius? (Heat exchange between the rod's surface and the environment is neglected.)

\textit{[Figure: A uniform rod of length $L$ with the left end at $100\,^\circ\text{C}$ and the right end at $0\,^\circ\text{C}$. Point M is located at distance $L_1$ from the left end.]}

\begin{itemize}
    \item[(1)] 0.3
    \item[(2)] 0.5
    \item[(3)] 0.7
    \item[(4)] 0.75
\end{itemize}

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