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Question: A radioactive isotope is being produced at a constant rate X. Half-life of the radioactive substance...

A radioactive isotope is being produced at a constant rate X. Half-life of the radioactive substance is Y. After some time the number of radioactive nuclei become constant. The value of this constant is:

A

XYln(2)\frac{XY}{\ln(2)}

B

XY

C

(XY) ln (2)

D

XY\frac{X}{Y}

Answer

XYln(2)\frac{XY}{\ln(2)}

Explanation

Solution

Number of radio-nuclei become constant, when

X = lN

or N = xλ\frac { x } { \lambda } ==