JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Self Evaluation Test - Nuclei

  • question_answer
    Starting with a sample \[^{66}Cu,\frac{7}{8}\] of pure decays into Zn in 15 minutes. The corresponding half-life is

    A)  15 minutes

    B)  10 minutes

    C)   \[7\frac{1}{2}\]minutes

    D)  5 minutes

    Correct Answer: D

    Solution :

    [d] \[\frac{7}{8}\] of \[Cu\] decays in 15 minutes. \[\therefore \]   \[Cu\] undecayed \[=N=1-\frac{7}{8}=\frac{1}{8}={{\left( \frac{1}{2} \right)}^{3}}\] \[\therefore \] No. of half lifes = 3 \[n=\frac{t}{T}\]    or   \[3=\frac{15}{T}\] \[\Rightarrow \]   T = half-life period \[=\frac{15}{3}=5\] minutes


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