Radioactive decay is a statisticle process i.e., we cannot precisely predict the timing of a particular radioactivity of a particular nucleus . The nucleus can disintegrate immediately or it may take infinite time . Simply the probability of the number of nuclei being disintegrated at any instant can be predicted . the rate at which a particular decay process in a radioactive sample is directly proportional to the number of radioactive nuclei present and thus obeys first order kinetics . the factor dN/N expresses the fraction of nuclei decayed in time dt.`t_(1//2)` is the time in which half of the atoms are decayed and average life is the time for the nucleus to survive before decay .
Which of the following relation is correct ? `(t_(1//2)` and `t_(3//4)` are time required to complete half and 3/4 decay respectively )

Options

A. `t_(1//2) = 2 xx t_(3//4)`
B. `t_(1//2) = 3 xx t_(3//4)`
C. `t_(3//4) = 2 xx t_(1//2)`
D. `t_(3//4) = 3 xx t_(1//2)`

Answer

C

Explanation