Analysis and Exercise 4 The number of radioactive nuclei decrease exponentially with time as given by the following equation. N = Noe-at Where N is the number of nuclei present at time t, No is the original number of nuclei present (i.e. at time t = 0), and 1 is the decay constant of the process (i.e. the probability that any single nucleus will decay in one second). This function can be also straightened out as follows. First, dividing both sides of the equation by No. gives N No = e-at Then taking the natural log of both sides yields In() = -at 1. Make a Chart with columns for t, N, and In ( ) . Calculate the values for each at 2.0 minutes increments, but the time must be in seconds. Let No = 5.0 . 1022, and ) = 5.66 . 10-4s-1. (10 points) 2. Plot In us. t. (10 points) 3. Calculate the slope of the Best-Fit line, with its units. (3 points) 4. What physical quantity does the slope represent? (2 points)