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 .

Options

A. `(XY)/(ln(2))`
B. `XY`
C. `(XY)ln(2)`
D. `(X)/(Y)`

Answer

A

Explanation

Number of radio nulei become constant, when rate of production becoms equal to rate of decay.
`X=lambda N`
or `N=(X)/(lambda)` Given, `y = In(2)/(lambda)`
`rArr N=(XY)/(1n(2))`.