Mathematics · 2021
JEE Main · 26 February 2021, Shift 1 · Q65
The rate of growth of bacteria in a culture is proportional to the number of bacteria present and the bacteria count is 1000 at initial time t =0.…
The rate of growth of bacteria in a culture is proportional to the number of bacteria present and the bacteria count is $\displaystyle 1000$ at initial time $\displaystyle \mathrm{t}=0$. The number of bacteria is increased by $\displaystyle 20 \%$ in $\displaystyle 2$ hours. If the population of bacteria is $\displaystyle 2000$ after $\displaystyle \frac{\mathrm{k}}{\log _{\mathrm{e}}\left(\dfrac{6}{5}\right)}$ hours, then $\displaystyle \left(\frac{\mathrm{k}}{\log _{\mathrm{e}} 2}\right)^2$ is equal to :
Official answer
(2)
$\displaystyle 4$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.