A student in a laboratory is studying two oscillating systems. System 1 consists of a block of mass \(m\) attached to an ideal horizontal spring of constant \(k\) on a frictionless surface. System 2 consists of a simple pendulum with a bob of mass \(M\) and a string of length \(L\). The original period of System 1 is \(T_s\) and the original period of System 2 is \(T_p\). The student replaces the original block in System 1 with a new block of mass \(4m\) and replaces the original string in System 2 with a new string of length \(2L\). Which of the following expressions represents the ratio of the new period of System 1 to the new period of System 2?