A large number of liquid drops each of radius r coalesce to form a single spherical drop…
Physics · NEET · NTA Exams — Properties of Solids and Liquids
A large number of liquid drops each of radius r coalesce to form a single spherical drop of radius R. The energy released in the process is converted into the kinetic energy of the big drop formed. If ρ and σ are the density and surface tension of the big drop, then its speed is
- \(\sqrt{\frac{6 \sigma}{\rho}\left(\frac{1}{r}-\frac{1}{R}\right)}\)
- \(\sqrt{\frac{\sigma}{\rho}\left(\frac{1}{r}-\frac{1}{R}\right)}\)
- \(\sqrt{\frac{2 \sigma}{\rho}\left(\frac{1}{r}-\frac{1}{R}\right)}\)
- \(\sqrt{\frac{4 \sigma}{\rho}\left(\frac{1}{r}-\frac{1}{R}\right)}\)
Answer
(A) 6 ( 1 r - 1 R )
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