Answer
(c) $T_{1}=\frac{1}{2}T_{2}$
Work Step by Step
The time constant of a RC circuit is given by $T=RC$, where R is resistance of resistor and C is the capacitance of the capacitor.
In situation 1: $T_{1}=RC$
In situation 2: $T_{2}=2RC$
Thus, $T_{2}=2T_{1}$