matematicas visuales visual math
Radioactive Desintegration

Podemos modelar la desintegración radioactiva usando una función exponencial.

El tiempo necesario para que el número de átomos radioactivos quede reducida a la mitad se llama periodo de semidesintegración.

Modificando los puntos cambiamos el número de átomos inicial y el periodo de semidesintegración.

Con los botones generamos el material radioactivo y controlamos el proceso de desintegración

Si el número de átomos es muy grande, la razón entre el número de átomos desintegrados por unidad de tiempo y el número total de átomos es una magnitud constante que depende del tipo de átomo.

Podemos considerar que el hecho de que un átomo se desintegre es independiente de lo que les ocurra al resto. Tomando intervalos de tiempo pequeños, cada átomo se desintegra o no con una determinada probabilidad.

El número de átomos radioactivos que quedan se ajusta aproximadamente a una función exponencial.

REFERENCES

Zeldóvich y Yaglom - Matemáticas superiores. Ed. Mir. (p. 271)

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