A student constructs a simple pendulum with a string of length \(L\) and a small bob of mass \(m\). On Earth, where the acceleration due to gravity is \(g\), the pendulum oscillates with a period \(T_1\) when released from a small angle. The student then constructs a second simple pendulum with a string of length \(4L\) and a bob of mass \(2m\) and takes it to a moon where the acceleration due to gravity is \(g/4\). If the second pendulum also oscillates at a small angle, what is the period \(T_2\) of the second pendulum in terms of \(T_1\)?