JEE Main & Advanced Chemistry Surface & Nuclear Chemistry / भूतल और नाभिकीय रसायन Question Bank Rate of decay and Half-life

  • question_answer
    \[10gm\] of a radioactive substance is reduced to \[1.25gm\] after 15 days. Its \[1kg\] mass will reduce (in how many days) to \[500gm\] in

    A)                 500 days              

    B)                 125 days

    C)                 25 days

    D)                 5 days

    Correct Answer: D

    Solution :

           \[N={{\left[ \frac{1}{2} \right]}^{n}}\times {{N}_{o}}\]                    \[1.25={{\left[ \frac{1}{2} \right]}^{n}}\times 10\]                    \[{{\left[ \frac{1}{2} \right]}^{n}}=\frac{1.25}{10}=\frac{1}{8}={{\left[ \frac{1}{2} \right]}^{3}},\,n=3\]                                 Half-life time = \[\frac{15}{3}=\]5 days.


You need to login to perform this action.
You will be redirected in 3 sec spinner