The half life period of a radioctive element is 140 days. Afte 560 days, one gram of the element will reduced to : a)`1/2g` b)`1/4`g c)`1/8`g d)`1/16`g

Options

A. `1//2`
B. `1//4`
C. `1//8`
D. `1//16`

Answer

D

Explanation

`t_(1//2)=149` days , t=560 days
`n=(560)/(140)=4`
`N=(N_(0))/(2^(n))=(N_(0))/(2^(4))=(N_(0))/(16)`
`(N)/(N_(0))=(1)/(16)`