Question

In a sample of radioactive material, what fraction of the initial number of active nuclei will remain disintegrated after half of the half-life of the sample?

• A. $\sqrt{2}-1$
• B. $1/\sqrt{2}$
• C. $1/2\sqrt{2}$
• D. 1/4

Answer 1

The correct option is B $1/\sqrt{2}$

number of half life in a period equal to half of the half life is $n=1/2$

so remaining nuclei after this period will be $(1/2{)}^n$$=\sqrt[2]{2\frac{1}{2}}$

Option B is correct.