A uniform rod of length \(L\) is at rest on a frictionless horizontal surface. A student conducts two trials where a horizontal force of constant magnitude \(F\) is applied perpendicular to the rod for a short time interval \(\Delta t\). In Trial 1, the force is applied directly to the center of mass of the rod. In Trial 2, the force is applied at a distance \(d = L/4\) from the center of mass. Which of the following correctly relates the change in the rod's linear momentum \(\Delta p\) and the change in the rod's angular momentum \(\Delta L\) about its center of mass for the two trials?