J & K CET Engineering J and K - CET Engineering Solved Paper-2013

  • question_answer
    Polonium has a half-life of \[140\] days. If we take \[20\,\,g\]of polonium initially then the amount of  it that remains after 280 days is       

    A)  \[2.5\,\,g\]             

    B)  \[5\,\,g\]              

    C)  \[10\text{ }g\]             

    D)  \[15\text{ }g\]

    Correct Answer: B

    Solution :

    After n-half lines, quantity of radiatioactive substance left is \[N={{N}_{0}}{{\left( \frac{1}{2} \right)}^{t/{{T}_{1/2}}}}\] Given, \[{{T}_{1/2}}=140\,\,days,\,\,t=28\,\,days,\,\,\,{{N}_{0}}=20g\] \[\therefore \] \[N=20{{\left( \frac{1}{2} \right)}^{\frac{280}{140}}}=\frac{20}{4}=5g\]


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