The rate at which a particular decay process occurs in a radio sample, is proportional to the number of radio active nuclei present . If N is the number of radio active nuclei present at some instant, the rate of change of N is `"dN"/"dt"=-lambdaN`. Consider radioactive decay of A to B which may further decay either to X or to Y, `lambda_1, lambda_2 and lambda_3` are decay constants for A to B decay , B to X decay and B of Y decay respectively. if at t=0 number of nuclei of A,B , X and Y are `N_0, N_0`,zero and zero respectively
and `N_1 , N_2, N_3,N_4` are number of nuclei A,B , X and Y at any instant.
The number of nuclei of B will first increase then after a maximum value, it will decreases, if
A. `lambda_1 gt lambda_2 + lambda_3`
B. `lambda_2=lambda_2=lambda_3`
C. `lambda_1=lambda_2+lambda_3`
D. For any values if `lambda_1, lambda_2` and `lambda_3`
