Manipal Medical Manipal Medical Solved Paper-2012

  • question_answer
    A radioactive element has half-life period of 600 yr. After 3000 yr, 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, \[t=3000\text{ }yr,\text{ }T=6000\text{ }yr\] \[n=\frac{3000}{600}=5\] 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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