Question

Two radioactive elements X and Y have half-life periods of 50 minutes and 100 minutes, respectively. Initially, both of them contain equal number of atoms. Find the ratio of atoms left `N_XIN_Y` after 200 minutes.

Answer 1

Correct Answer - A::D
In 200 minute time,
`n_1=`number of half-lives of X
`=200/50=4`
`n_2=` number of half-lives of Y
`=200/100 =2`
`N_X/N_Y=(N_0(1//2)^4)/(N_0(1//2)^2)=1/4`