MHT CET · Maths · Differential Equations
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
- A \(6R = t + 2\)
- B \(R(t+2)=6\)
- C \(R = 6(t + 2)\)
- D \(6R = t\)
Answer & Solution
Correct Answer
(B) \(R(t+2)=6\)
Step-by-step Solution
Detailed explanation
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)
This condition is satisfied by only option (B)
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