JEE Main & Advanced Chemistry Surface & Nuclear Chemistry / भूतल और नाभिकीय रसायन Question Bank Rate of decay and Half-life

  • question_answer
    If 3/4  quantity of a radioactive element disintegrates in two hours, its half-life would be [MP PMT 1989; CPMT 1984]

    A)                 1 hour  

    B)                 45 minutes

    C)                 30 minutes         

    D)                 15 minutes

    Correct Answer: A

    Solution :

           \[N=\frac{25}{100}{{N}_{o}}(\text{at}\,t=2\,hr)\]                                 Thus \[t=\frac{2.303}{0.693}\times {{t}_{1/2}}\log \frac{{{N}_{o}}}{N}\]


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