A spherical raindrop evaporates at a rate proportional to its surface area. If originally its radius is $3…

A spherical raindrop evaporates at a rate proportional to its surface area. If originally its radius is $3 \mathrm{~mm}$ and 1 hour later it reduces to $2 \mathrm{~mm}$, then the expression for the radius $\mathrm{R}$ of the raindrop at any time $t$ is
  1. $6R = t + 2$
  2. $R(t+2)=6$
  3. $R = 6(t + 2)$
  4. $6R = t$

Solution

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

Asked in: MHT CET 2023 (09 May Shift 1)

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