GATE 2024 Chemical Engineering, Q15 · Fluid Mechanics
The correct answer is C, γ/r.
Question
An infinitely long cylindrical water filament of radius r is surrounded by air. Assume water and air to be static. The pressure outside the filament is and the pressure inside is If is the surface tension of the water-air interface, then is
Official answer:
Why
GATE 2024 official key: (C). Young-Laplace: For a cylinder, r and giving (For a sphere it would be for a soap bubble,
Explanation cross-checked for consistency. Final answer matches the official IIT answer key.