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An initial number of bacteria presented in a culture is 10000. This number doubles every 30 minutes. How long will it take to bacteria to reach the number 100000 ? |
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Answer» Correct Answer - 100 minutes Initially bacteria count is 10000. After 30 min. it doubles i.e., ` 2xx 10000`. After 60 min. it is`2^(2) xx 10000`. So, after t minutes, bacteria count will be ` N = 10000 xx 2^(t/30)` For ` N = 100000`,we have `100000 = 10000 xx 2^(t/30)` ` :. 2^(t/30) = 10` ` t/30 log_(10) 2 = 1` ` rArr t = (30)/(log_(10) 2) = 30/(0.301) = 99. 67` So, it will take approximately 100 minutes. |
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