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 \( P_{out} \) and the pressure inside is \( P_{in} \). If \( \gamma \) is the surface tension of the water-air interface, then \( P_{in} - P_{out} \) is:

• A. \(\frac{2\gamma}{R}\)
• B. 0
• C. \(\frac{\gamma}{R}\)
• D. \(\frac{4\gamma}{R}\)

Answer 1

The Correct Option is C

The correct option is (C) :\(\frac{\gamma}{R}\)