A capillary is dipped in water vessel kept in a lift going...

A capillary is dipped in water vessel kept in a lift going up with acceleration $2 g$. Then (a) The water will rise in the tube to the height observed under normal condition (b) Water will rise to the maximum available height of the tube (c) Water will rise to the height one third of the height of normal condition (d) Water will rise to the height double the height of normal condition

A capillary is dipped in water vessel kept in a lift going up with acceleration $2 g$. Then
(a) The water will rise in the tube to the height observed under normal condition
(b) Water will rise to the maximum available height of the tube
(c) Water will rise to the height one third of the height of normal condition
(d) Water will rise to the height double the height of normal condition

Key Concepts

Capillary Action

Capillary action is the ability of a liquid to flow in narrow spaces without the assistance of external forces, primarily due to the interplay between cohesive forces (within the liquid) and adhesive forces (between the liquid and the surface of the tube). This phenomenon is governed by factors such as surface tension, contact angle, and the radius of the tube, and is commonly observed when a capillary tube is immersed in a liquid.

Effective Gravity in Non-Inertial Frames

When a system is in a non-inertial frame, such as an accelerating lift, the apparent or effective gravitational acceleration experienced within the system is altered. In an upward accelerating frame, the effective gravitational force is the sum of the actual gravitational acceleration and the acceleration of the frame. This increase in effective gravity can significantly influence the behavior of fluids, including altering the height of liquid rise in capillary tubes.

Dependence of Capillary Rise on Gravitational Acceleration

The height to which a liquid rises in a capillary tube is inversely proportional to the effective gravitational acceleration acting on it, as captured in the capillary rise equation. This means that if the effective gravity increases, the height of the capillary rise decreases. Understanding this relationship is essential when analyzing fluid behavior in varying gravitational fields or accelerated frames.

Please give Ace some feedback