J & K CET Medical J & K - CET Medical Solved Paper-2012

  • question_answer
    The half-life of\[^{60}Co\] is approximately 5.25 years. In a sample containing 1 g of freshly prepared\[^{60}Co,\]how much of the isotope will be left after 21 years?

    A)  125 mg         

    B)  62.5 mg

    C)  Nothing will be left

    D)  31.25 mg

    Correct Answer: B

    Solution :

     Given, \[{{T}_{1/2}}=5.25\,yr\] \[t=21\,yr\] Number of half lives \[n=\frac{t}{{{T}_{1/2}}}=\frac{21}{5.25}=4\] Amount of sample left \[={{\left( \frac{1}{2} \right)}^{4}}\times 1\,g\] \[=\frac{1}{16}g\]or\[62.5mg\]


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