JEE Main & Advanced Sample Paper JEE Main Sample Paper-20

  • question_answer
    The activity of a radioactive substance drops to \[1/32\]of its initial value in\[7.5\text{ }h\]. 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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