A) \[\Omega \]
B) \[\frac{1}{9}A\]
C) \[\frac{1}{0.9}A\]
D) \[I\]
Correct Answer: C
Solution :
Key Idea Internal energy of a system remains constant or change in internal energy of the system is zero, The system of two rigid boxes is shown in figure. \[=m\times 2\times {{\left( \frac{\sqrt{2}l}{2} \right)}^{2}}+m\times {{(\sqrt{2}l)}^{2}}\] \[=3m{{l}^{2}}\] Now, \[\Delta {{U}_{A}}=1\times \frac{5R}{2}({{T}_{f}}-{{T}_{0}})\] \[\Delta {{U}_{B}}=1\times \frac{3R}{2}\left( {{T}_{f}}-\frac{7}{3}{{T}_{0}} \right)\] \[\Delta {{U}_{A}}+\Delta {{U}_{B}}=0\] \[\frac{5R}{2}({{T}_{f}}-{{T}_{0}})+\frac{3R}{2}\left( {{T}_{f}}-\frac{7{{T}_{0}}}{3} \right)=0\] \[5{{T}_{f}}-5{{T}_{0}}+3{{T}_{f}}-7{{T}_{0}}=0\] \[\Rightarrow \] \[8{{T}_{f}}=12{{T}_{0}}\]You need to login to perform this action.
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