Verified Solution • 2025–26 Session moderate

QJEEM19Che532: JEE Main 2019 Chemistry - Class 12 JEEM19Che532 Solution: A bacterial infection in an internal wound grows as N'(t) = N 0 …

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 dNdt=−5N2. What will be the plot of N0N vs. t after 1 hour?

Multiple Choice Options

  • A https://ik.imagekit.io/novatra/photos/570289ec5166b617625034558618b739a332291e0919b5496cd483901ba1e10b.webp
  • B https://ik.imagekit.io/novatra/photos/b9426e17788ab0e7701279a8f3f6a7ca8b2841f8ca3cf7f97b9b65c38ec89e5b.webp
  • C https://ik.imagekit.io/novatra/photos/6be7c4b970c85126ded207a3299dc9551c36a93a3ad76259bf099b1bdf0bd70a.webp
  • D https://ik.imagekit.io/novatra/photos/bc51792fa6644af70a78831f9b66605d3722f97dbf7056096f4557cf06169914.webp

Step-by-Step Verified Solution

dNdt=−5N2         for t > 1 hr

'N' increases upto 1 hr and then start decreasing after 1 hr.

∴ N0N will increase after 1 hr.

Therefore option (D) is correct.

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