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

Options

A. `(1)/(4)`
B. `(1)/(2sqrt2)`
C. `(1)/(sqrt2)`
D. `sqrt2-1`

Answer

C

Explanation

According to radioactive decay
`(N)/(N_(0))=((1)/(2))^(t//T_(1//2))`
Here, `t=(T_(1//2))/(2)" "therefore (N)/(N_(0))=((1)/(2))^(1//2)=(1)/(sqrt2)`