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Q. A raindrop reaching the ground with terminal velocity has momentum $p$ . Another drop of twice the radius, also reaching the ground with terminal velocity, will have momentum

NTA AbhyasNTA Abhyas 2020

Solution:

As $v \propto r^{2}$ and the mass of the drop $m \propto r^{3}$ , its momentum $p=mv \propto r^{5}$ . Here, $2^{5}=32$ .