VMMC VMMC Medical Solved Paper-2015

  • question_answer
    The counting rate observed from a radioactive source at t = 0 second was 1600 counts/s and ( = 8 s it was 100 counts/s. The counting rate observed as count per second at t = 6 s will be

    A) 400                        

    B) 300   

    C) 200                        

    D) 150

    Correct Answer: C

    Solution :

    \[{{r}_{0}}=1600={{\lambda }_{0}}{{N}_{0}}\] \[\frac{{{N}_{0}}}{N}=\frac{1600}{100},\]when t = 8 \[{{r}_{8}}=100=\lambda .N\]\[8=\frac{2.303}{\lambda }\log \frac{1600}{100}\] \[{{r}_{3}}=100=\lambda .N\]or\[\lambda =0.3466\] now\[{{r}_{0}}=1600\Rightarrow {{r}_{6}}=?t=6\] \[6=\frac{2.303}{\lambda }\log \frac{1600}{{{r}_{6}}}\]\[\therefore \]\[{{r}_{6}}=200\]


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