TY - JOUR
AU - López Cruz, E.
AU - Vázquez López, Carlos
PY - 2023/03/16
Y2 - 2023/12/09
TI - A classroom alternative to simulate radioactive decay of nuclei
JF - Suplemento de la Revista Mexicana de Física
JA - Supl. Rev. Mex. Fis.
VL - 4
IS - 1
SE - 10 Symposium on Radiation Physics
DO - 10.31349/SuplRevMexFis.4.011004
UR - https://rmf.smf.mx/ojs/index.php/rmf-s/article/view/6768
SP - 011004 1-2
AB - <p><span id="page3R_mcid7" class="markedContent"><span dir="ltr" role="presentation">In this work we present a classroom alternative to simulate radioactive decay of nuclei. It consists </span><span dir="ltr" role="presentation">of a game in which the students in a classroom are invited to participate in a kind of lottery. The </span><span dir="ltr" role="presentation">students (around 45 in a typical classroom)</span> <span dir="ltr" role="presentation">take 20 “tickets” numbered at random from 1 to 50.</span> <span dir="ltr" role="presentation">As </span><span dir="ltr" role="presentation">a whole we have 900 initial “tickets”.</span> <span dir="ltr" role="presentation">Then one student is asked to give a random number </span><span dir="ltr" role="presentation">between 1 and 50 (for example 34) and the teacher gives a range of numbers from 34 to 38 or 30 </span><span dir="ltr" role="presentation">to 34. The students cross the numbers in their list that coincide with the numbers given by the </span><span dir="ltr" role="presentation">teacher.</span> <span dir="ltr" role="presentation">These numbers are the “lucky” ones and represent “nuclei” which decay, then someone </span><span dir="ltr" role="presentation">gives another number and the process is repeated and the number of “lucky” ti</span><span dir="ltr" role="presentation">ckets put in a list. </span><span dir="ltr" role="presentation">Repetition of the process gives a sequence of numbers which are the</span> <span dir="ltr" role="presentation">number of “nuclei” surviving</span><br role="presentation" /><span dir="ltr" role="presentation">as the time goes on. The nuclei decaying are considered as stable ones. A plot of the surviving </span><span dir="ltr" role="presentation">“nuclei” as a function of time (number o</span><span dir="ltr" role="presentation">f times the students are asked to cross the lucky numbers) </span><span dir="ltr" role="presentation">gives a typical exponential decay. When one considers the case of nuclei A decaying into nuclei B </span><span dir="ltr" role="presentation">decaying to nuclei C and this one is a stable one, using the corresponding differential equations </span><span dir="ltr" role="presentation">one obtains the normal curves of nuclei as a function of time.</span></span></p>
ER -