1. In measuring the pendulum period, should the interface measure the time between two adjacent blocks of the Photogate? Or is some other measurement logic used? Why? 2. Using graph paper, plot a graph of pendulum period T vs. amplitude in degrees. Scale each axis from the origin (0,0).According to your data, does the period depend on the amplitude? Explain. 3. Using your graph paper, plot a graph of pendulum period T vs. length 1.Scale each axis from the origin (0,0).Does the period appear to depend on length? 4. Using graph paper, plot the pendulum period vs. mass. Scale each axis from the origin (0,0).Does the period appear to depend on mass? Do you have enough data to answer this conclusively? 5. To examine more carefully how the period T depends on the pendulum length I,create the following two additional graphs of the same data:T vs I and T vs. 1.Of the three period- length graphs, which is closest to a direct proportion; which plot is the most nearly a straight line that goes through the origin? 6. Using Newton's laws, we could show that for a simple pendulum the period T is related to the length and free-fall acceleration g by T = 2n (1/8)/2, or T=(4m/g).l Does one of your graphs support this relationship? Explain. (Hint: Can the term in parentheses be treated as a constant proportionality?)