The half life time of a radioactive elements of x is the same as the mean life of another radioactive element Y. Initially they have same number of atoms, then
$ ( T 1/2)_x = {0.693 \over \lambda x} (T)_Y = {1\over \lambda y} ({T_1 \over 2 })_x= T_y $ ${0.693 \over \lambda x} = {1/ \lambda y}$ $\therefore \lambda y = {dx \over 0.693 }$ $({T_1 \over 2 })_X= (T)_y $ $ \lambda y = 1.44 \lambda x $ $ {0.693 \over \lambda x} = { 1 \over \lambda y}$ $ According N = No\,e^{-\lambda t }$