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MHT CET20239 May 2023Morning ShiftMathematicsDifferential EquationsActual

A spherical raindrop evaporates at a rate proportional to its surface area. If originally its radius is 3 ~mm and 1 hour later it reduces to 2 ~mm , then the expression for the radius R of the raindrop at any time t is

Options

  1. A6R = t + 2
  2. BR(t+2)=6
  3. CR = 6(t + 2)
  4. D6R = t

Correct answer

B. R(t+2)=6

Step-by-step solution

According to the given conditions, when t =0, R =3 and when t =1, R =2 This condition is satisfied by only option (B)

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