BHU PMT BHU PMT (Screening) Solved Paper-2008

  • question_answer
    A bacterium divides after every 35 minutes. If 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 divide by binary fission, in this one cell divides to produce two cells. \[1\times {{10}^{5}}\,cells\,\xrightarrow[Ist\,div.]{}2\times {{10}^{5}}\xrightarrow[2nd\,div.]{}\] \[4\times {{10}^{5}}\,\xrightarrow[3rd\,\,div.]{}8\times {{10}^{5}}\xrightarrow[4th\,\,div.]{}16\times {{10}^{3}}\]\[\xrightarrow[5th\,\,div.]{}32\times {{10}^{3}}\] So, cell concentration per mL after 175 minutes will be \[32\times {{10}^{5}}.\]


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