NEET Sample Paper NEET Sample Test Paper-18

  • question_answer
    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) \[\frac{XY}{\ell n(2)}\]                       

    B) \[XY\]

    C) \[XY\ln (2)\]                

    D)  \[\frac{X}{Y}\]

    Correct Answer: A

    Solution :

    The number of radioactive nuclei becomes constant when the rate of production is equal to the rate of decay. \[\Rightarrow \]\[X=\lambda N=\frac{\ell n2}{Y}N\]\[\therefore \,N=\frac{XY}{\ell n2}\] Hence, the correction option is [a].


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