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Question: Answered & Verified by Expert
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
MathematicsDifferential EquationsMHT CETMHT CET 2023 (09 May Shift 1)
Options:
  • A $6R = t + 2$
  • B $R(t+2)=6$
  • C $R = 6(t + 2)$
  • D $6R = t$
Solution:
2052 Upvotes Verified Answer
The correct answer is: $R(t+2)=6$
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)

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