NEET Physics Nuclear Physics And Radioactivity NEET PYQ-Nuclear Physics

  • question_answer
    The half-life of a radioactive isotope X is 20 yr. It decays to another element Y which is stable. The two elements X and Y were found to be in the ratio 1 : 7 in a sample of a given rock. The age of the rock is estimated to be [NEET 2013]

    A)  40 yr   

    B)       60 yr   

    C)  80 yr               

    D)       100 yr

    Correct Answer: B

    Solution :

    As  \[\frac{N}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{n}}\]
    \[\frac{N}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{3}}=\frac{1}{8}\]
       Number of half-lives = 3
    \[\Rightarrow \]   \[T=20\,\,yr\]
       \[\therefore \]   \[T=\frac{t}{n}\]
       or      \[t=T\times n=20\times 3yr=60\,yr\]


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