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Eight identical droplets, each falling u...

Eight identical droplets, each falling under gravity in the earth's atmosphere with terminal velocity `v`, combine to form a single drop. The terminal velocity of single drop and drag force on it are calculated. Find the correct statement from the following.

A

`v`

B

`2v`

C

`3v`

D

`4v`

Text Solution

AI Generated Solution

To solve the problem, we need to analyze the situation where eight identical droplets combine to form a single larger droplet. We will derive the terminal velocity of the larger droplet based on the terminal velocity of the smaller droplets. ### Step-by-Step Solution: 1. **Understanding Terminal Velocity**: The terminal velocity \( v \) of a droplet falling under gravity is given by the formula: \[ v = \frac{2}{9} \frac{r^2 (\rho - \sigma) g}{\eta} ...
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