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JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Radioactivity

  • question_answer
    The ratio activity of an element becomes 1/64th of its original value in 60 sec. Then the half life period is [MP PMT 2002]                                            

    A)            5 sec                                        

    B)            10 sec

    C)            20 sec                                      

    D)            30 sec

    Correct Answer: B

    Solution :

                       \[A={{A}_{0}}{{\left( \frac{1}{2} \right)}^{\frac{t}{{{T}_{1/2}}}}}\Rightarrow \frac{1}{64}={{\left( \frac{1}{2} \right)}^{\frac{60}{{{T}_{1/2}}}}}\] \[\Rightarrow {{\left( \frac{1}{2} \right)}^{6}}={{\left( \frac{1}{2} \right)}^{\frac{60}{{{T}_{1/2}}}}}\Rightarrow {{T}_{1/2}}=10\sec \]


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