CMC Medical CMC-Medical Ludhiana Solved Paper-2014

  • question_answer
    A certain radioactive substance has a half-life of 5 years. Thus, for a nucleus in a sample of the elements, the probability of decay in 10 years is

    A)  50%                      

    B)  75%   

    C)  100%                   

    D)  60%

    Correct Answer: B

    Solution :

                    Number of half-lives \[n=\frac{10}{5}=2\] Remaining amount \[N={{N}_{0}}{{\left( \frac{1}{2} \right)}^{n}}={{N}_{0}}{{\left( \frac{1}{2} \right)}^{2}}=\frac{{{N}_{0}}}{4}\] \[\frac{N}{{{N}_{0}}}=\frac{1}{4}\times 100=25\,%\] Probability of decay \[=\left( 100-25 \right)%\] \[=75%\]


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