You have a new summer job with NASA and are working on astronomical observations using electromagnetic radiation that is not in the visible range. Your supervisor has explained 21cm radiation….
Graph the natural logarithm of the number N of dice remaining after each throw against the number n of the throw and determine the half-life.
This activity simulates the statistical decay of radioactive nuclei. Packages of 100 dice can be purchased online. (a) First, think about the following procedure, but don’t do it yet: Put 100 dice in a bag and shake for a few seconds. Roll out the dice on a tabletop. Each such roll of the dice will represent one time interval Dt. Remove all the dice showing a one on the upper face, and set them aside. Record the remaining number N of dice. Put the remaining dice back in the bag, shake, and roll out again. Repeat this procedure, always removing the dice showing a number one from those on the table, until only a few dice remain. Second, after thinking about this procedure, predict the half-life of the procedure: the number of throws after which half the dice remain when the dice with a one showing have been removed. (b) Finally, perform the activity and record the results. Graph the natural logarithm of the number N of dice remaining after each throw against the number n of the throw and determine the half-life. Compare to your theoretical prediction.