Two radioactive substances have half-lives `T` and `2T`. Initially, they have equal number of nuclei. After time `t=4T`, the ratio of their number of nuclei is `x` and the ratio of their activity is `y`. Then,

Options

A. `x=1//8`
B. `x=1//4`
C. `y=1//2`
D. `y=1//4`

Answer

B, C

Explanation

`x=(N_(1))/(N_(2))=(1)/(4)` and `y=(A_(1))/(A_(2))=(lambda_(1)N_(1))/(lambda_(2)N_(2))=(1)/(2)`