DUMET Medical DUMET Medical Solved Paper-2010

  • question_answer
    A radioactive isotope has a half-life of T yr. How long will it take the activity to reduce to 1% of its original value?

    A)  3.2 Tyr

    B)  4.6 Tyr

    C)  6.6 Tyr

    D)  9.2 Tyr

    Correct Answer: C

    Solution :

     From the question,N \[=\frac{{{N}_{0}}}{100}\] and \[{{t}_{1/2}}=T\,\,yr\] So, \[\lambda =\frac{0.693}{T}\] Thus, \[t=\frac{2.303}{\lambda }\log \left[ \frac{{{N}_{0}}}{N} \right]=\frac{2.303T}{0.693}\log \,100\] = 6.65T


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