The half-life period of a radio-active element `X` is same as the mean life time of another radio-active element `Y`. Initially they have the same number of atoms. Then:

Options

A. Y decays faster than X
B. X and Y decay equally initially
C. X and Y decay at same rate always
D. X will decay faster than Y

Answer

A

Explanation

`(t_(1//2))_(x) =tau_(y)=(ln(2))/lambda_(x)=1/lambda_(y)`
`rArr lambda_(y)=lambda_(x)/(ln(2))`
As, `lambda_(y) gt lambda_(x)`
The rate of decay of Y is greater than that of X.