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RAJASTHAN PMT Rajasthan - PMT Solved Paper-1996

  • question_answer
    At  some  instant  two  radioactive substance are having amount in ratio: 1. Their half lives are \[12\,hrs\]and \[16\,hrs\], then after 2 days the ratio of their quantities:

    A)  \[1:1\]                                 

    B)         \[2:1\]                                 

    C)         \[1:2\]                                                 

    D)         \[1:4\]                

    Correct Answer: D

    Solution :

    Remaing amount \[N={{N}_{0}}{{\left( \frac{1}{2} \right)}^{n}}\] \[{{N}_{1}}={{N}_{0}}{{\left( \frac{1}{2} \right)}^{48/12}},\] \[{{N}_{2}}=2{{N}_{0}}{{\left( \frac{1}{2} \right)}^{48/16}}\]                                 \[=\frac{{{N}_{0}}}{4}=\frac{{{N}_{0}}}{16}\]                 \[{{N}_{1}}:{{N}_{2}}=1:4\]         


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