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. \[\text{1 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{5}}}\,\text{cells}\,\xrightarrow[\text{Ist}\,\text{div}\text{.}]{}\text{2 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{5}}}\,\xrightarrow[\text{2nd}\,\text{div}\text{.}]{}\] \[\text{4 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{5}}}\,\,\xrightarrow[3rd\,\,\text{div}\text{.}]{}\text{8 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{5}}}\,\xrightarrow[4th\,\,\text{div}\text{.}]{}16\times {{10}^{5}}\] \[\xrightarrow[5th\,\,\text{div}\text{.}]{}\text{32 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{5}}}\] So, cell concentration per mL after 175 minutes will be \[32\times {{10}^{s}}.\]
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