NEET Sample Paper NEET Sample Test Paper-67

  • question_answer
    The half-life of \[B{{i}^{210}}\] is 5 days. What time is taken by \[{{\left( 7/8 \right)}^{th}}\] part of the sample to decay

    A) 3.4 days                       

    B) 10 days

    C) 15 days                        

    D) 20 days

    Correct Answer: C

    Solution :

    By using \[N={{N}_{0}}{{\left( \frac{1}{2} \right)}^{t/T}}\]; where           \[N=\left( 1-\frac{7}{8} \right){{N}_{0}}=\frac{1}{8}\,{{N}_{0}}\] \[So\,\,\frac{1}{8}\,{{N}_{0}}={{N}_{0}}{{\left( \frac{1}{2} \right)}^{t/T}}\] \[\Rightarrow \,\,{{\left( \frac{1}{2} \right)}^{3}}\,\,=\,{{\left( \frac{1}{2} \right)}^{t/5}}\,\,\,\,\,\,\,\,\,\,\,\,\Rightarrow \,\,\,\,t=15\,\,days\]


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