A radio active material has a half life of 2.5 hours. In 10 hrs, 1 gm of material is reduced to ..... Gm

Options

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

Answer

A

Explanation

Here `n=t/T=10/2.5=4`
Now `N/N_(0)=(1/2)^(n)`
`N/N_(0)=(1/2)^(4)`
`N/N_(0)=(1/2)^(4)`
`N/N_(0)=1/16`