The air tight and smooth pistons of a cylindrical vessel are connected with a string, as shown. Initially,, pressure and temperature of the gas are \[{{p}_{0}}\] and \[{{T}_{0}}\]. The atmospheric pressure is also\[{{p}_{0}}\]. At a later time, tension in the string is \[\frac{3}{8}{{p}_{0}}A\] where A is the cross-sectional are of the cylinder. At this time, the temperature of the gas has become:

The air tight and smooth pistons of a cylindrical vessel are connected

1.	The air tight and smooth pistons of a cylindrical vessel are connected with a string, as shown. Initially,, pressure and temperature of the gas are \[{{p}_{0}}\] and \[{{T}_{0}}\]. The atmospheric pressure is also\[{{p}_{0}}\]. At a later time, tension in the string is \[\frac{3}{8}{{p}_{0}}A\] where A is the cross-sectional are of the cylinder. At this time, the temperature of the gas has become:
A.	\[\frac{3}{8}{{T}_{0}}\]
B.	\[\frac{3}{4}{{T}_{0}}\]
C.	\[\frac{11}{8}{{T}_{0}}\]
D.	\[\frac{13}{8}{{T}_{0}}\]
Answer» D. \[\frac{13}{8}{{T}_{0}}\]