MHT CET 2026 Mathematics question

MathematicsDifferential EquationMHT CET 2026

A spherical raindrop evaporates at a rate proportional to its surface area. The differential equation involving the rate of change of its radius with time is.... (where is a positive constant)

Answer: (A)

Solution

Volume and surface area . Evaporation means the volume decreases at a rate proportional to the surface area: with . Also . Therefore , giving

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Question ID VK-100349