A certain radioactive isotope is a byproduct of some nuclear

A certain radioactive isotope is a by-product of some nuclear reactors. Due to an explosion, a nuclear reactor experiences a massive leak of this radioactive isotope. Fortunately, the isotope has a very short half-life of 14 days. Estimate the percentage of the original amount of the isotope released by the explosion that remains 11 days after the explosion.

Solution

decay constant = 0.693/14 =0.0495

N(t) = Noe^(-kt)

t ---> no.of days\\

N = Noe^(-0.0495*11) = No(0.58)

About 58% of the isotope remains