An ideal gas undergoes a process maintaining relation between pressure \( (P) \) and Volume \( (V) \) as \( P=P_0\left(1+\left(\dfrac{V_0}{V}\right)^2\right)^{-1} \), where \( P_0 \) and \( V_0 \) are constants. If two samples \( A \) and \( B \) (two moles each) with initial volumes \( V_0 \) and \( 3V_0 \) respectively undergo above mentioned process and attain same pressure, then the difference at the temperatures of these samples, \( T_B-T_A \) is _______.
\( (R=\text{gas constant}) \)
