The incubation conditions for Group R and Group T differed in which of the following ways? The incuba- tion temperature in the: Group T. Group R. Group T. Group R. 43 GO ON TO THE NEXT PAGE. ACT-Z14 4 4 Passage IV Consider a pendulum of length L that consists of a sphere of mass M suspended from one end of a string of negligible mass; the string’s other end is tied to a ring stand (see Figure 1). Figure 1 When the sphere is moved from its equilibrium (lowest) position, the string makes some initial angle, θ0, with respect to the vertical direction. If the sphere is released, the pendulum will oscillate (swing back and forth). The frequency, f, of the pendulum is the number of cycles (round trips) per second completed by the pendulum. A teacher gave her students the following table of masses and lengths for 4 such pendulums, P1−P4. She asked 2 students to predict which pendulum(s) would have the greatest f (assuming that θ0 is the same for the 4 pendulums). Student1 For a given L, as M increases, the gravitational force exerted by Earth on a sphere will increase, so sphere weight will increase. As this weight increases, gravitational acceleration will increase, so the average speed of the sphere over a cycle will increase, thereby increasing f. For a given M, as L decreases, the distance traveled by the sphere over a cycle will decrease. However, the average sphere speed will also decrease, because the length of the path traveled by the sphere over a cycle will decrease and limit gravitational acceleration. Consequently, the pendu- lum will take the same amount of time to complete a cycle, and f will remain the same. Because P3 and P4 have the same M, they will have the same f. Moreover, because both P3 and P4 have a greater mass than either P1 or P2, each will have a greater f than either P1 or P2. Student2 M will not affect f, because a sphere’s gravitational acceleration and, consequently, its average speed over a cycle are independent of the sphere’s mass. For any given M, as L increases, the distance traveled by the sphere over a cycle will increase. As a result, the pendulum will take more time to complete a cycle, so f will decrease. As P1 and P3 have the same L, they will have the same f. As both P1 and P3 are shorter than either P2 or P4, each will have a greater f than either P2 or P4. θ0 string sphere L Table 1 Pendulum M (kg) L (m) P1 1 1 P2 1 2 P3 2 1 P4 2 2 44 GO ON TO THE NEXT PAGE. ACT-Z14 4 4