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If n identical water droplets falling un...

If n identical water droplets falling under gravity with terminal velocity v coalesce to form single drop which has the terminal velocity 4v. Find the number n .

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To solve the problem, we need to understand the relationship between the terminal velocity of the droplets and their sizes. The terminal velocity \( v \) of a droplet is proportional to the square of its radius \( r \). ### Step-by-Step Solution: 1. **Understanding Terminal Velocity**: The terminal velocity \( v \) of a droplet is given by the equation: \[ v \propto r^2 ...
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