Question

A liquid of density \(800\,\text{kg m}^{-3}\) rises \(4\,\text{cm}\) in a capillary tube of inner radius \(0.2\,\text{mm}\). The capillary tube is dipped vertically in the liquid and the angle of contact between the capillary tube and the liquid is \(0^\circ\). The excess pressure inside the spherical drop of diameter \(2\,\text{cm}\) of the same liquid is \[ (\text{Acceleration due to gravity}=10\,\text{m s}^{-2}) \]

• A. \(9.6\,\text{N m}^{-2}\)
• B. \(12.8\,\text{N m}^{-2}\)
• C. \(6.4\,\text{N m}^{-2}\)
• D. \(3.2\,\text{N m}^{-2}\)

Hint:

Remember, \[ \boxed{ h=\frac{2T\cos\theta}{\rho gr} } \] for capillary rise, and \[ \boxed{ \Delta P=\frac{2T}{R} } \] for a liquid drop.

Answer 1

The Correct Option is C