Reference no: EM13308309

Radioactive carbon 11 has a decay rate k of 0.0338 per minute-that is, a particular C11 atom has a 3.38% chance of decaying in any one minute. Suppose we start with 100 such atoms. We want to simulate their fate over a period of, say, 100 minutes, ending up with a bar graph showing how many atoms remain undecayed after 1, 2, ..., 100 minutes. We need to simulate when each of the 100 atoms decays. This can be done, for each atom, by generating a random numberr for each of the 100 minutes until eitherr > k (that atom decays) or the 100 minutes are up. If the atom decays at time t < 100, increment the frequency distribution f(t) by 1. f(t) will be the number of atoms decaying at time t minutes. Now convert the number f(t) decaying each minute to the number R(t) remaining each minute. If there are n atoms to start with, after one minute the number R(1) remaining will be n ?f(1) since f(1)is the number decaying during the first minute. The numberR(2)remaining after two minutes will be n ?f(1)?f(2). In general, thenumber remaining aftert minutes will be (in MATLAB notation) R(t) = n - sum( f(1:t) ) Write a script to compute R(t) and plot its bar graph. Superimpose on the graph the theoretical result, which is R(t) = 100exp?kt **The course is Programming in Physical Science not PHIL 100.