iran-konkur 2024 Q72

iran-konkur · Other · konkur-riazi_1403_ordibehesht_specialized Not Maths
72. In the figure below, three pistons A, B, and C are frictionless and the water surface is at equilibrium at height $h$. The pistons have equal weights. If we place equal masses on the pistons, they return to equilibrium and the liquid column heights become $h_A$, $h_B$, and $h_C$. Which relationship is correct?
[Figure: Three connected pistons A, B, C at height h, with liquid below.]
  • [(1)] $h_C > h_B > h_A$
  • [(2)] $h_C < h_B < h_A$
  • [(3)] $h_C = h_B = h_A$
  • [(4)] $h_C + h_B + h_A = 3h$

\textbf{72.} In the figure below, three pistons A, B, and C are frictionless and the water surface is at equilibrium at height $h$. The pistons have equal weights. If we place equal masses on the pistons, they return to equilibrium and the liquid column heights become $h_A$, $h_B$, and $h_C$. Which relationship is correct?

\textit{[Figure: Three connected pistons A, B, C at height h, with liquid below.]}

\begin{itemize}
    \item[(1)] $h_C > h_B > h_A$
    \item[(2)] $h_C < h_B < h_A$
    \item[(3)] $h_C = h_B = h_A$
    \item[(4)] $h_C + h_B + h_A = 3h$
\end{itemize}

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