RAJASTHAN PMT Rajasthan - PMT Solved Paper-2008

  • question_answer
    A bacterium divides after every 35 min., if a culture containing \[{{10}^{5}}\] cells per ml is grown, then cell concentration per ml after 175 min. will be

    A)  \[175\times {{10}^{5}}\]

    B)  \[125\times {{10}^{5}}\]

    C)  \[48\times {{10}^{5}}\] 

    D)             \[32\times {{10}^{5}}\]

    Correct Answer: D

    Solution :

    As we know that bacterium divided after every 35 minutes through simple mitotic division therefore, number of divisions are\[\frac{175}{35}=5\] Since, one bacterium on division produces two cells so, cell concentration after 175 minutes will be \[\begin{align}   & ={{10}^{5}}\times {{(2)}^{5}} \\  & =32\times {{10}^{5}} \\ \end{align}\]


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