Radioactive decay follows first-order kinetic. The mean life and half-life of nuclear decay process are `tau = 1// lambda` and `t_(1//2) = 0.693//lambda`. Therefore are a number of radioactive elements in nature, their abundance is directly proportional to half life. The amount remaining after `n` half lives of radioactive elements can be calculated using the relation:
`N = N_(0) ((1)/(2))^(n)`
Select the correct relation.
a)`t_(1//2) = (0.693)/(lambda)`
b)`tau = (1)/(lambda)`
c)`tau = 1.44 xx t_(1//2)`
d)`tau = (t_(1//2))/(0.693)`
A. `t_(1//2) = (0.693)/(lambda)`
B. `tau = (1)/(lambda)`
C. `tau = 1.44 xx t_(1//2)`
D. `tau = (t_(1//2))/(0.693)`
