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J & K CET Medical J & K - CET Medical Solved Paper-2014

  • question_answer
    The half life of an old rock element is 5800 years. In how many years its sample of 25 g is reduced to 6.25 g.

    A)  2900 years        

    B)  5800 years

    C)  11600 years       

    D)  23200 years

    Correct Answer: C

    Solution :

     \[25g\xrightarrow[{}]{{{T}_{1/2}}}12.5g\xrightarrow[{}]{{{T}_{1/2}}}6.25g\]. After two half lives the sample will reduce at 6.25 g. \[\Rightarrow \]So time taken\[t=\frac{2\pi }{2}\] \[=2\times 5800=11600%\]


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