MHT CET 2024 Mathematics question

MathematicsDifferential EquationMHT CET 2024

A wet substance in the open air loses its moisture at a rate proportional to the moisture content. If a sheet hung in the open air loss half its moisture during the first hour, then the time t, in which 99% of the moisture will be lost, is

Answer: (A)

Solution

Let be the moisture at time . Then . After 1 hour half is lost: . When 99% is lost only 1% remains:

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Question ID VK-093409