Eight equal drop falling |ChemistryinEverydayLifeJEEMain2023

JEE MAIN 2023

11-4-2023

Question

Eight equal drops of water are falling through air with a steady speed of 10 cm/s. If the drops coalesce, the new velocity is:-

Select the correct option:

10 cm/s

40 cm/s

16 cm/s

5 cm/s

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

$\begin{array}{ll}\text { Sol. } & v \propto r^2 \\ & \frac{v_1}{v_2}=\left(\frac{r}{R}\right)^2 \\ 8 \cdot \frac{4}{3} \pi \pi^3=\frac{4}{3} \pi R^3 \\ R=2 r \\ \frac{10}{v_2}=\left(\frac{1}{2}\right)^2 \\ v_2=40 \mathrm{~cm} / \mathrm{s}\end{array}$

Question Tags

JEE Main

Chemistry

Medium

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