33. A composite block is made of slabs $\mathrm { A } , \mathrm { B } , \mathrm { C } , \mathrm { D }$ and E of different thermal conductivities (given in terms of a constant K) and sizes (given in terms of length, L) as shown in the figure. All slabs are of same width. Heat 'Q' flows only from left to right through the blocks. Then in steady state\\
\includegraphics[max width=\textwidth, alt={}, center]{cdfce4af-7f3d-4d66-ab09-7da7ecb927ff-14_513_896_480_641}\\
(A) heat flow through A and E slabs are same.\\
(B) heat flow through slab $E$ is maximum.\\
(C) temperature difference across slab E is smallest.\\
(D) heat flow through $\mathrm { C } =$ heat flow through $\mathrm { B } +$ heat flow through D .

\section*{ANSWER: ACD}
\begin{enumerate}
  \setcounter{enumi}{33}
  \item A metal rod of length ' $L$ ' and mass ' $m$ ' is pivoted at one end. A thin disk of mass ' $M$ ' and radius ' R ' ( $< \mathrm { L }$ ) is attached at its center to the free end of the rod. Consider two ways the disc is attached: (case A) The disc is not free to rotate about its center and (case B) the disc is free to rotate about its center. The rod-disc system performs SHM in vertical plane after being released from the same displaced position. Which of the following statement(s) is (are) true?\\
\includegraphics[max width=\textwidth, alt={}, center]{cdfce4af-7f3d-4d66-ab09-7da7ecb927ff-14_372_338_1690_924}\\
(A) Restoring torque in case $\mathrm { A } =$ Restoring torque in case B\\
(B) Restoring torque in case $\mathrm { A } <$ Restoring torque in case B\\
(C) Angular frequency for case $A >$ Angular frequency for case $B$.\\
(D) Angular frequency for case $A <$ Angular frequency for case $B$.
\end{enumerate}



\section*{SECTION - III (Total Marks : 15)}
\section*{(Paragraph Type)}
This section contains 2 paragraphs. Based upon one of the paragraphs 3 multiple choice questions and based on the other paragraph $\mathbf { 2 }$ multiple choice questions have to be answered. Each of these questions has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct.

\section*{Paragraph for Question Nos. 35 to 37}
Phase space diagrams are useful tools in analyzing all kinds of dynamical problems. They are especially useful in studying the changes in motion as initial position and momentum are changed. Here we consider some simple dynamical systems in one-dimension. For such systems, phase space is a plane in which position is plotted along horizontal axis and momentum is plotted along vertical axis. The phase space diagram is $x ( t )$ vs. $p ( t )$ curve in this plane. The arrow on the curve indicates the time flow. For example, the phase space diagram for a particle moving with constant velocity is a straight line as shown in the figure. We use the sign convention in which position or momentum upwards (or to right) is positive and downwards (or to left) is negative.\\
\includegraphics[max width=\textwidth, alt={}, center]{cdfce4af-7f3d-4d66-ab09-7da7ecb927ff-15_553_742_1579_604}\\