JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2012

  • question_answer
        A radioactive element has half-life period of 600 years. After 3000 years, what amount will remain?

    A)  \[\frac{1}{2}\]                                  

    B)  \[\frac{1}{16}\]

    C)  \[\frac{1}{8}\]                                  

    D)  \[\frac{1}{32}\]

    Correct Answer: D

    Solution :

                    We know that \[n=\frac{t}{T}\] Given,\[t=3000\]years,\[T=600\]years                 \[=\frac{3000}{600}=5\] 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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