Verified Answer :

A half life of 2 years means the mass will half every two years. After two years the 100 grams will become 100/2 = 50 grams. Therefore it will take 2 years to decay to a mass of 50 grams.

Answer: 2 years.

Explanation:

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

Half life is represented by \(t_{\frac{1}{2}\)

\(t_{\frac{1}{2}=\frac{0.693}{\lambda}\)

\(\lambda\) = rate constant

As the initial amount of 100 grams is decaying to mass of 50 grams which is half of initial value, it will take 2 years for the decay.