Eight identical rain drops, each falling with terminal velocity \(v\), coalesce to form a single drop. The terminal velocity of the big drop is
A. \(4v\)
B. \(8v\)
C. \(2v\)
D. \(16v\)
A. \(4v\)
B. \(8v\)
C. \(2v\)
D. \(16v\)
Best answer
Answer: A. \(4v\)
Volume conserved: \(R^3=8r^3\Rightarrow R=2r\). Since \(v_t\propto r^2\), new terminal velocity \(=4v\).
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