A certain nuclide has a half life period of 30 min. If a sample containing 600 atoms is allowed to decay for 90 min, how many atoms will remains?

Options

A. 200 atoms
B. 450 atoms
C. 75 atoms
D. 150 atoms

Answer

C

Explanation

`n=("total time")/("half-life period")=(90)/(30)=3`
`N=N_(0)xx((1)/(2))^(n)`
`=600xx((1)/(2))^(3)`
`=(600)/(8)`
=75atoms