Answer :

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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 [tex]t_{\frac{1}{2}[/tex]

[tex]t_{\frac{1}{2}=\frac{0.693}{\lambda}[/tex]

[tex]\lambda[/tex] = 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.

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