Browse Questions

# An isotope is radioactive . It is being produced at constant rate b . Half - life of radioactive substance is a . After some time no.of radioactive nuclei become constant . Then value of this constant is .

$(a)\;ln 2\qquad(b)\;ab\qquad(c)\;\large\frac{ab}{ln 2}\qquad(d)\;\large\frac{a}{b}$

Answer : (c) $\;\large\frac{ab}{ln 2}$
Explanation :
Number of radio nuclei become constant when $\;b=\lambda N$
or $\;N=\large\frac{b}{\lambda}$
$=\large\frac{b}{\large\frac{ln 2}{a}}=\large\frac{ab}{ln 2}\;.$