A radioactive material of Lay 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 :

Question

$(a)\;\large\frac{T}{ln 2}\;|ln \large\frac{2A_{1}}{A_{2}}|\qquad(b)\;\large\frac{T}{ln 2}\;|ln \large\frac{A_{2}}{2 A_{1}}|\qquad(c)\;T |ln \large\frac{A_{1}}{A_{2}}|\qquad(d)\;T |ln \large\frac{A_{2}}{2 A_{1}}|$