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The rate at which a particular decay pro...

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`

Text Solution

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The correct Answer is:
A
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