Haryana PMT Haryana PMT Solved Paper-2011

  • question_answer
    The half-life of  \[1g\] of radioactive sample is 9 h. The time requires for the original sample to reduce to \[0.2g\]is

    A)  \[2.09h\]

    B)  \[15.6h\]

    C)  \[20.9h\]

    D)  \[156h\]

    Correct Answer: C

    Solution :

                    Decay constant \[(\lambda )=\frac{0.693}{{{t}_{1/2}}}=\frac{0.693}{9}\] \[\lambda =\frac{2.303}{t}\log \frac{{{N}_{0}}}{N}\] \[\frac{0.693}{9}=\frac{2.303}{t}\log \frac{1}{0.2}\] \[t=20.9h\]


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