Problem

Consider a radioactive disintegration according to the equation

A \to B \to C

. Decay constant of

A

and

B

is same and equal to

\lambda

. Number of nuclei of

A

B

and

C

are

N_0

, 0, 0 respectively at

t = 0

. Find (a) number of nuclei of

B

as function of time

t

. (b) time

t

at which the activity of

B

is maximum and the value of maximum activity of

B