NEET Chemistry NEET PYQ-Nuclear Chemistry

  • question_answer
    The half-life of \[_{6}{{C}^{14}},\] (\[\lambda =2.31\times {{10}^{4}}\] per year) is: [AIPMT 1999]

    A)             \[2\times {{10}^{2}}\] year

    B) \[3\times {{10}^{3}}\] year

    C) \[3.3\times {{10}^{4}}\] year

    D) \[4\times {{10}^{3}}\] year

    Correct Answer: B

    Solution :

    [b] Radioactive decay is first order reaction.
                So,       \[\lambda =\frac{0.693}{{{T}_{1/2}}}\]
                \[\therefore \]            \[{{T}_{1/2}}=\frac{0.693}{2.31\times {{10}^{-4}}}\,year\]
                            \[=0.3\times {{10}^{4}}=3\times {{10}^{3}}\,year\]


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