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A radioactive substance X decays into an...

A radioactive substance `X` decays into another radioactive substance `Y`. Initially, only `X` was present . `lambda_(x)` and `lambda_(y)` are the disintegration constant of `X` and Y. `N_(y)` will be maximum when.

A

`(N_(y))/(N_(x) -N_(y)=lambda_(y)/lambda_(x)-lambda_(y))`

B

`(N_(y))/(N_(x) -N_(y)=lambda_(y)/lambda_(x)-lambda_(y))`

C

`lambda_(y) N_(y)=lambda_(x)N_(x)`

D

`lambda_(y) N_(x)=lambda_(x)N_(y)`

Text Solution

Verified by Experts

The correct Answer is:
C

`Net rate foramtion of `Y` at any time `t` is
`(dN_(y))/(dt) =lamb_(y) N_(y)`da_(x) N_(x)-lambda`
`N_(y)` is maximum when
`(dN_(y))/(dt) =0`
or `lambda_(x) N_(x)-lambda_(y) N_(y)`.
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