Question

The fraction quantity of a radiactive sample will decay during half of its half-life period is
A. `(1)/(sqrt(2))`
B. `(1)/(sqrt(2-1))`
C. `(sqrt(2)-1)/(sqrt(2))`
D. `(1)/(2)`

Answer 1

Correct Answer - C
`(N)/(N_(0))=((1)/(2))^(n)=((1)/(2))^((t)/(T))` Here, `t=(T)/(2) or (t)/(T)=(1)/(2)`
`(N)/(N_(0))=((1)/(2))^((1)/(2))=(1)/(sqrt(2)), (N_(0)-N)/(N_(0))= 1-(1)/(sqrt(2))=(sqrt(2)-1)/(sqrt(2))`