Question:medium
Eight identical spherical liquid drops, each falling with a terminal velocity \(v\), coalesce to form a single large drop. The terminal velocity of the new large drop is:
Eight identical spherical liquid drops, each falling with a terminal velocity \(v\), coalesce to form a single large drop. The terminal velocity of the new large drop is:
Show Hint
For spherical drops combining together:
\[
n \propto R^3
\]
Thus, if \(n\) identical drops merge,
\[
R=n^{1/3}r
\]
Since terminal velocity varies as \(r^2\),
\[
v_t \propto n^{2/3}
\]
For \(n=8\),
\[
8^{2/3}=4
\]
Updated On: May 16, 2026
- \(2v\)
- \(4v\)
- \(8v\)
- \(16v\)
Show Solution
The Correct Option is B
Solution and Explanation
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