From 0 to 1 hour, N′=N0et
From 1 hour onwards dtdN=−5N2
So at t=1 hour, N′=eN0
dtdN=−5N2
∫eN0NN−2dN=−5∫1tdt
N1−eN01=5(t−1)
NN0−e1=5N0(t−1)
NN0=5N0(t−1)+e1
NN0=5N0t+(e1−5N0)
Which is following y=mx+C
JEE Main 2019 — Chemistry Physical Chemistry
A bacterial infection in an internal wound grows as N′(t)=N0exp(t) , where the time t is in hours. A dose of antibiotic, taken orally, needs 1 hour to reach the wound. Once it reaches there, the bacterial population goes down as dtdN=−5N2 . What will be the plot of NN0 vs t after 1 hour?
Held on 10 Apr 2019 · Verified 6 Jul 2026.




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