JEE Main & Advanced Sample Paper JEE Main Sample Paper-11

  • question_answer
    The activity of a radioactive substance drops to 1/32 of its initial value in 7.5 h. Find the half life.

    A)  2 hours               

    B)  1.5 hours

    C)  1 hours               

    D)  2.5 hours

    Correct Answer: B

    Solution :

     Using\[\frac{A}{{{A}_{0}}}={{\left( \frac{1}{2} \right)}^{t/T}}\]or\[\frac{1}{32}={{\left( \frac{1}{2} \right)}^{7.5/T}}\]or\[{{\left( \frac{1}{2} \right)}^{5}}={{\left( \frac{1}{2} \right)}^{7.5/T}}\]or\[5=\frac{7.5}{T}\]i.e. \[T=1.5\]hours


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