jee-main 2020 Q23

jee-main · India · session1_08jan_shift2 Not Maths
Three containers $C_{1}$, $C_{2}$ and $C_{3}$ have water at different temperatures. The table below shows the final temperature $T$ when different amounts of water (given in liters) are taken from each container and mixed (assume no loss of heat during the process)
$C_{1}$$C_{2}$$C_{3}$$T$
$1l$$2l$--$60^{\circ}\mathrm{C}$
--$1l$$2l$$30^{\circ}\mathrm{C}$
$2l$--$1l$$60^{\circ}\mathrm{C}$
$1l$$1l$$1l$$\theta$

The value of $\theta$ (in ${}^{\circ}\mathrm{C}$ to the nearest integer) is $\underline{\hspace{1cm}}$
Three containers $C_{1}$, $C_{2}$ and $C_{3}$ have water at different temperatures. The table below shows the final temperature $T$ when different amounts of water (given in liters) are taken from each container and mixed (assume no loss of heat during the process)

\begin{center}
\begin{tabular}{|l|l|l|l|}
\hline
$C_{1}$ & $C_{2}$ & $C_{3}$ & $T$ \\
\hline
$1l$ & $2l$ & -- & $60^{\circ}\mathrm{C}$ \\
\hline
-- & $1l$ & $2l$ & $30^{\circ}\mathrm{C}$ \\
\hline
$2l$ & -- & $1l$ & $60^{\circ}\mathrm{C}$ \\
\hline
$1l$ & $1l$ & $1l$ & $\theta$ \\
\hline
\end{tabular}
\end{center}

The value of $\theta$ (in ${}^{\circ}\mathrm{C}$ to the nearest integer) is $\underline{\hspace{1cm}}$