RAJASTHAN ­ PET Rajasthan PET Solved Paper-2004

  • question_answer
    At any instant the ratio of the amount of radioactive substances is 2:1. If their half lives be respectively 12 and 16 hours, then after two days, what will be the ratio of the substances?

    A)  4 : 1             

    B)  2 : 1

    C)  1 : 2             

    D)  1 : 4

    Correct Answer: A

    Solution :

     The number of half year for first element \[{{n}_{1}}=\frac{2\times 24}{12}=4\] The number of half year for second element \[{{n}_{1}}=\frac{2\times 24}{16}=3\] \[\therefore \] \[\frac{{{N}_{1}}}{{{N}_{2}}}=\frac{{{N}_{{{0}_{1}}}}{{(2)}^{{{n}_{1}}}}}{{{N}_{{{0}_{2}}}}{{(2)}^{{{n}_{2}}}}}\] \[=\frac{2}{1}.\frac{{{2}^{4}}}{{{2}^{3}}}=4\] \[{{N}_{1}}:{{N}_{2}}=4:1\]


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