MHT CET · Physics · Mechanical Properties of Fluids
Two raindrops reach the earth with different terminal velocities having the ratio \(9: 4\). The ratio of their volumes is
- A \(\frac{8}{27}\)
- B \(\frac{9}{4}\)
- C \(\frac{3}{2}\)
- D \(\frac{27}{8}\)
Answer & Solution
Correct Answer
(D) \(\frac{27}{8}\)
Step-by-step Solution
Detailed explanation
\(v_t \propto r^2 \Rightarrow \frac{v_{t1}}{v_{t2}} = \frac{r_1^2}{r_2^2}\) \(\frac{r_1^2}{r_2^2} = \frac{9}{4} \Rightarrow \frac{r_1}{r_2} = \sqrt{\frac{9}{4}} = \frac{3}{2}\)
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