Question

A radioactive sample is being produced at a constant rate X. Half life of radioactive substance is Y. After some time, the number of radioactive nuclei become constant. The value of this constant is 1) XY/ln 2 2) XY 3) XY ln2 4) X/Y

Answer 1

Explanation:

Given dN/dt = X

t 1/2 = Y

λ = ln2 /t1/2    = ln2  /Y

We know

dN/dt = λN

X = ln2 N /Y

N =  XY /ln2