5. Water is filled up to a height $h$ in a beaker of radius $R$ as shown in the figure. The density of water is $\rho$, the surface tension of water is $T$ and the atmospheric pressure is $P _ { 0 }$. Consider a vertical section ABCD of the water column through a diameter of the beaker. The force on water on one side of this section by water on the other side of this section has magnitude\\
\includegraphics[max width=\textwidth, alt={}, center]{e79946a0-735d-438d-ac42-5265ab72284d-02_454_394_1005_1398}\\
(A) $\left| 2 P _ { 0 } R h + \pi R ^ { 2 } \rho g h - 2 R T \right|$\\
(B) $\left| 2 P _ { 0 } R h + R \rho g h ^ { 2 } - 2 R T \right|$\\
(C) $\left| P _ { 0 } \pi R ^ { 2 } + R \rho g h ^ { 2 } - 2 R T \right|$\\
(D) $\left| P _ { 0 } \pi R ^ { 2 } + R \rho g h ^ { 2 } + 2 R T \right|$

Answer

\begin{figure}[h]
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\caption{(A)}
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\begin{figure}[h]
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\caption{(B)}
\end{center}
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\begin{figure}[h]
\begin{center}
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\caption{(C)}
\end{center}
\end{figure}

\begin{figure}[h]
\begin{center}
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\caption{(D)}
\end{center}
\end{figure}

\begin{enumerate}
  \setcounter{enumi}{5}
  \item A spherical portion has been removed from a solid sphere having a charge distributed uniformly in its volume as shown in the figure. The electric field inside the emptied space is\\
\includegraphics[max width=\textwidth, alt={}, center]{e79946a0-735d-438d-ac42-5265ab72284d-03_218_224_326_730}\\
(A) zero everywhere\\
(B) non-zero and uniform\\
(C) non-uniform\\
(D) zero only at its center\\
Answer\\
\includegraphics[max width=\textwidth, alt={}, center]{e79946a0-735d-438d-ac42-5265ab72284d-03_105_566_837_330}\\
(A)\\
(B)\\
(C)\\
(D)
  \item Positive and negative point charges of equal magnitude are kept at $\left( 0,0 , \frac { a } { 2 } \right)$ and $\left( 0,0 , \frac { - a } { 2 } \right)$, respectively. The work done by the electric field when another positive point charge is moved from $( - a , 0,0 )$ to $( 0 , a , 0 )$ is\\
(A) positive\\
(B) negative\\
(C) zero\\
(D) depends on the path connecting the initial and final positions\\
Answer
\end{enumerate}

\begin{figure}[h]
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\caption{(A)}
\end{center}
\end{figure}

\begin{figure}[h]
\begin{center}
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\caption{(A)}
\end{center}
\end{figure}

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{e79946a0-735d-438d-ac42-5265ab72284d-03_95_98_1824_644}
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\caption{(A)}
\end{center}
\end{figure}

\includegraphics[max width=\textwidth, alt={}, center]{e79946a0-735d-438d-ac42-5265ab72284d-03_95_94_1824_794}\\
(B)\\
(C)\\
(D)\\