JEE MAIN - Chemistry (2019 - 10th April Morning Slot - No. 14)
A bacterial infection in an internal wound grows as N'(t) = N0 exp(t), where the time t is in hours. A does of antibiotic, taken orally, needs 1 hour to reach the wound. Once it reaches there, the bacterial population goes down as $${{dN} \over {dt}} = - 5{N^2}$$.
What will be the plot of $${{{N_0}} \over N}$$
vs. t after 1 hour?
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Explanation
$${{dN} \over {dt}} = - 5{N^2}$$ for t > 1 hr
'N' increases upto 1 hr and then start decreasing after 1 hr.
$$ \therefore $$ $${{{N_0}} \over N}$$ will increase after 1 hr.
Therefore option (D) is correct.
'N' increases upto 1 hr and then start decreasing after 1 hr.
$$ \therefore $$ $${{{N_0}} \over N}$$ will increase after 1 hr.
Therefore option (D) is correct.
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