RAJASTHAN ­ PET Rajasthan PET Solved Paper-2008

  • question_answer
    The half-life of radioactive element is 600 yr. The fraction of sample that would remain after 3000 yr is

    A)  1 / 2                

    B)  1 / 16

    C)  1 / 8                

    D)  1 / 32

    Correct Answer: D

    Solution :

     We know that \[n=\frac{t}{T}\] Given, \[t=3000\text{ }yr\] \[T=600\text{ }yr\] \[n=\frac{3000}{600}=5\] Then,    \[\frac{N}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{n}}\] \[\frac{N}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{5}}=\frac{1}{32}\]


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