KVPY Sample Paper KVPY Stream-SX Model Paper-22

  • question_answer
    The age of an organic material is usually deter-mined by measuring its \[^{14}C\] content (carbon dating). The ratio of the number of stable iso- tope of \[^{14}C\] atoms present to the number of ra-dioactive \[^{14}C\]atoms in a certain material is found to be \[3:1.\] If the half-life of \[^{14}C\] atoms is 5730 years, the age of the material under investiga-tions is

    A) 7944 years

    B) 17190 years

    C) 11460 years

    D) 13972 years

    Correct Answer: C

    Solution :

    unstable : stable = 1.3 \[4n\to n\] 2 half live \[t=2{{T}_{\frac{1}{2}}}=2\times 5730=11460\operatorname{yrs}.\]

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