A block of mass \(M\) on a frictionless horizontal surface is attached to two identical ideal springs, each with spring constant \(k\). In Configuration P, the two springs are connected in parallel between the block and a wall. In Configuration S, the two springs are connected in series between the block and the wall. Both systems are displaced from equilibrium and released to undergo simple harmonic motion. Which of the following correctly identifies the effective spring constants \(k_{\text{P}}\) and \(k_{\text{S}}\) and the ratio of their angular frequencies \(\dfrac{\omega_{\text{P}}}{\omega_{\text{S}}}\)?

| | \(k_{\text{P}}\) | \(k_{\text{S}}\) | \(\dfrac{\omega_{\text{P}}}{\omega_{\text{S}}}\) |
| :--- | :---: | :---: | :---: |