A radioactive isotope is being produced at a constant rate x. Halflife of the radioactive substance is y. After some time, the number of radioactive nuclei become constant. The value of this constant is
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At any given time t:
dtdN=X−λN
where, λ=Yln2
After time t, N= const.
dtdN=0
X−λN= 0
N=ln2XY
Hope this help you
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