In a sample of radioactive material, what fraction of initial number of active nuclei will remain undistintegrated after half of a half0life of the sample?

Options

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

Answer

B

Explanation

We have, `(N)/(N_(0))=e^(-lamdat)=e^(-((In2)/(t_(1)//2))((t_(1)//2)/(2)))=e^(-((In_(2))/(2)))=(1)/(sqrt2)`
`(thereforelamda=(1n2)/(t_(1//2)),t=nt_(1)//2'here n=1/2)`