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

  • question_answer
    The half-life of \[_{92}{{U}^{238}}\] is \[4.5\times {{10}^{9}}\] years. After how many years, the amount of \[_{92}{{U}^{238}}\] will be reduced to half of its present amount              [CPMT 1990; MP PET 1999]

    A)                 \[9.0\times {{10}^{9}}\] years    

    B)                 \[13.5\times {{10}^{9}}\] years

    C)                 \[4.5\times {{10}^{9}}\] years    

    D)                 \[4.5\times {{10}^{4.5}}\] years

    Correct Answer: C

    Solution :

              Because \[{{t}_{1/2}}=4.5\times {{10}^{9}}\] years, so after \[4.5\times {{10}^{9}}\] years the amount of  \[_{92}{{U}^{238}}\] will be half decayed.


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