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

  • question_answer
    Half-lives for \[\alpha \] and \[\beta \] emission of a radioactive material are 16 years and 48 years respectively. When material decays giving \[\alpha \] and \[\beta \] emission simultaneously, time in which 3/4th material decays is

    A)  29 years

    B)     24 years

    C)  64 years 

    D)    12 years

    Correct Answer: B

    Solution :

    [b] Effective half life is calculated as \[\frac{1}{T}=\frac{1}{{{T}_{1}}}+\frac{1}{{{T}_{2}}}\] \[\frac{1}{T}=\frac{1}{16}+\frac{1}{48}\Rightarrow T=12\] years Time in which \[\frac{3}{4}\] will decay is 2 half-lives = 24 years


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