A radio nuclide `A_(1)` with decay constant `lambda_(1)` transforms into a radio nuclide `A_2` with decay constant `lambda_(2)`. Assuming that at the initial moment, the preparation contained only the radio nuclide `A_(1)`
(a) Find the equation describing accumulation of radio nuclide `A_(2)` with time. (b) Find the time interval after which the activity of radio nuclide `A_(2)` reaches its maximum value.

Options

A. `(ln (lambda_(2)//lambda_(1)))/(lambda_(2)-lambda_(1))`
B. `(ln (lambda_(2)//lambda_(1)))/(lambda_(2)-lambda_(1))`
C. `ln (lambda_(2)-lambda_(1))`
D. none of these

Answer

D

Explanation

Conserve the number of nucleons.