\sect{Tension of a chain molecule I} % Baruch's A10 A chain molecule consists of ${N}$ units, each having a length ${a}$, see figure. The units are joined so as to permit free rotation about the joints. At a given temperature ${T}$, derive the relation between the tension ${f}$ acting between both ends of the three-dimensional chain molecule and the distance ${L}$ between the ends. \begin{center} \includegraphics[scale=0.7]{A10} \end{center} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%