MGIMS WARDHA MGIMS WARDHA Solved Paper-2005

  • question_answer
    H the half-life of any sample of radioactive substance is 4 days, then the fraction   of  sample   will   remain undecayed after 2 days, will be :

    A) \[\sqrt{2}\]                                        

    B) \[\frac{1}{\sqrt{2}}\]

    C) \[\frac{\sqrt{2-1}}{\sqrt{2}}\]                    

    D) \[\frac{1}{2}\]

    Correct Answer: B

    Solution :

    Undecased fraction \[\frac{N}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{n}}\] Where,\[n=No\]of half lives\[\frac{N}{{{N}_{o}}}={{\left( \frac{1}{2} \right)}^{\frac{T}{{{T}_{1/2}}}}}\Rightarrow \frac{N}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{\frac{2}{4}}}={{\left( \frac{1}{2} \right)}^{\frac{1}{2}}}=\frac{1}{\sqrt{2}}\]


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