JIPMER Jipmer Medical Solved Paper-2000

  • question_answer
    Half lives of two radioactive substances A and B are respectively 20 minute and 40 minute. Initially the sample of A and B have equal number of nuclei. After 80 minutes, the ratio remains in number of A and B nuclei is.

    A)  4 : 1                                      

    B)  1 : 16                    

    C)  1 : 1                      

    D)         1 : 4

    Correct Answer: D

    Solution :

    From the relation\[\frac{N}{{{N}_{0}}}=\frac{1}{{{2}^{n}}}\] so                           \[N\propto \frac{1}{{{2}^{n}}}\] Hence, \[\frac{{{N}_{A}}}{{{N}_{B}}}=\frac{1/{{2}^{4}}}{1/{{2}^{2}}}=\frac{1}{{{2}^{4}}}\times \frac{{{2}^{2}}}{1}=\frac{1}{4}\]


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