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

  • question_answer
    The counting rate observed from a radioactive source at t=0 second was 1600 counts per second and at t=8 seconds it was 100 counts per second. The counting rate observed, as counts per second at t=6 seconds, will be [MP PET 1996; UPSEAT 2000;  Pb. PET 2004; Kerala PET 2005]

    A)            400

    B)            300

    C)            200

    D)            150

    Correct Answer: C

    Solution :

                       \[A={{A}_{0}}{{\left( \frac{1}{2} \right)}^{\frac{t}{{{T}_{1/2}}}}}\]Þ\[100=1600\,{{\left( \frac{1}{2} \right)}^{\frac{8}{{{T}_{1/2}}}}}\]Þ \[{{T}_{1/2}}=2sec\] Again at t = 6 sec, \[A=1600\,{{\left( \frac{1}{2} \right)}^{\frac{6}{2}}}=200\]counts/sec


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