JEE Main 2021MathematicsDifferential EquationsSolution Of Differential Equations By Method Of Separation Variables And HomogeneousmediumMCQ

JEE Main 2021Differential Equations Question with Solution

From: JEE Main 2021 (Online) 26th February Morning Shift

Question

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 number of bacteria is increased by 20% in 2 hours. If the population of bacteria is 2000 after hours, then is equal to :

Choose an option

Show full solutionCorrect option: D
Correct answer
D4

Step-by-step explanation











Put t = 2, x = 1200



Now,



at









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About this question

This is a previous-year question from JEE Main 2021, covering the Differential Equations chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.