A radioactive material of half-life $T$ was produced in a nuclear reactor at different instants, the quantity produced second time was twice of that produced first time. If now their present activities are $A_1$ and $A_2$ respectively then their age difference equals :

  • A

    $\frac{T}{{\ln \,2}}\,\left| {\ln \,\frac{{{A_1}}}{{{A_2}}}} \right|$

  • B

    $T\,\left| {\ln \,\frac{{{A_1}}}{{{A_2}}}} \right|$

  • C

    $\frac{T}{{\ln \,2}}\,\,\left| {\ln \,\frac{{{A_2}}}{{2{A_1}}}} \right|$

  • D

    $T\,\left| {\ln \,\frac{{{A_2}}}{{2{A_1}}}} \right|$

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