Uttarakhand PMT Uttarakhand PMT Solved Paper-2008

  • question_answer
    A bacterium divides after every 35 minutes. If a culture containing \[{{10}^{5}}\]cells per mL is grown, then cell concentration per mL after 175 minutes 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 :

    Bacteria generally divides by binary fission, in this one cell divide to produce two cells. \[1\times {{10}^{5}}cell\xrightarrow[1stdiv.]{}2\times {{10}^{5}}\xrightarrow[2nddiv.]{}\] \[4\times {{10}^{5}}\xrightarrow[3rddiv.]{}8\times {{10}^{5}}\xrightarrow[4thdiv.]{}16\times {{10}^{5}}\] \[\xrightarrow[5thdiv.]{}32\times {{10}^{5}}\] So, cell concentration per mL after 175 minutes will be \[32\times {{10}^{5}}\].


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