12. For the resistance network shown in the figure, choose the correct option(s).\\
\includegraphics[max width=\textwidth, alt={}, center]{1235d492-3555-402b-9a20-f8b0c32f22a0-08_561_630_509_291}\\
(A) The current through $P Q$ is zero.\\
(B) $I _ { 1 } = 3 \mathrm {~A}$.\\
(C) The potential at $S$ is less than that at $Q$.\\
(D) $I _ { 2 } = 2 \mathrm {~A}$.

\section*{ANSWER : ABCD}
\begin{enumerate}
  \setcounter{enumi}{12}
  \item A small block of mass of 0.1 kg lies on a fixed inclined plane $P Q$ which makes an angle $\theta$ with the horizontal. A horizontal force of 1 N acts on the block through its center of mass as shown in the figure. The block remains stationary if (take $\mathrm { g } = 10 \mathrm {~m} / \mathrm { s } ^ { 2 }$ )\\
\includegraphics[max width=\textwidth, alt={}, center]{1235d492-3555-402b-9a20-f8b0c32f22a0-08_494_683_1587_319}\\
(A) $\theta = 45 ^ { \circ }$\\
(B) $\theta > 45 ^ { \circ }$ and a frictional force acts on the block towards $P$.\\
(C) $\theta > 45 ^ { \circ }$ and a frictional force acts on the block towards $Q$.\\
(D) $\theta < 45 ^ { \circ }$ and a frictional force acts on the block towards $Q$.
\end{enumerate}

ANSWER : AC\\