iran-konkur 2020 Q193

iran-konkur · Other · konkur-riazi_1399_specialized_old-curriculum Not Maths
193. In a cylindrical tube whose base area is $5\,\text{cm}^2$, we pour $136\,\text{g}$ of mercury and $136\,\text{g}$ of water. If the density of mercury and water are $13/6\,\dfrac{\text{g}}{\text{cm}^3}$ and $1\,\dfrac{\text{g}}{\text{cm}^3}$ respectively, what is the pressure at the bottom of the tube in pascals? $$\left(P_0 = 76\,\text{cmHg},\quad g = 10\,\frac{\text{m}}{\text{s}^2}\right)$$
  • [(1)] $54/4$
  • [(2)] $5440$
  • [(3)] $10\,8/\!8$
  • [(4)] $10\,880$

\textbf{193.} In a cylindrical tube whose base area is $5\,\text{cm}^2$, we pour $136\,\text{g}$ of mercury and $136\,\text{g}$ of water. If the density of mercury and water are $13/6\,\dfrac{\text{g}}{\text{cm}^3}$ and $1\,\dfrac{\text{g}}{\text{cm}^3}$ respectively, what is the pressure at the bottom of the tube in pascals?
$$\left(P_0 = 76\,\text{cmHg},\quad g = 10\,\frac{\text{m}}{\text{s}^2}\right)$$

\begin{itemize}
    \item[(1)] $54/4$
    \item[(2)] $5440$
    \item[(3)] $10\,8/\!8$
    \item[(4)] $10\,880$
\end{itemize}

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