Two capillaries made of same material but of different radii are dipped in a liquid. The rise of ... (2024)

FAQs

When two capillary tubes of different diameters are dipped vertically, the rise of the liquid? ›

From the above equation we can say that the height of capillary rise is inversely proportional to the radius or diameter. So, if two capillary tubes of different diameters are dipped in water, the rise of water is more in tube of smaller diameter.

EXPLANATION: From the above formula of capillary rise, the capillary rise or depression is inversely proportional to the diameter of the tube. So when the diameter is increased, the capillary rise will decrease.

This is because the capillary rise is inversely proportional to the radius of the capillary tube.

Smaller diameter tubes have more relative surface area inside the tube, allowing capillary action to pull water up higher than in the larger diameter tubes.

When a capillary tube is dipped in a liquid, the liquid rises to a height h in the tube. The free liquid surface inside the tube is hemispherical in shape. The tube is now pushed down so that the height of the tube outside the liquid is less than h.

Capillarity is the result of surface, or interfacial, forces. The rise of water in a thin tube inserted in water is caused by forces of attraction between the molecules of water and the glass walls and among the molecules of water themselves.

The height of rise and the velocity of rise are dependent on the capillary tube radii. The larger the radius, the lower is the equilibrium height and the velocity of rise.

It is also known as capillary action. Surface tension is the force acting per unit length perpendicular to the line drawn on the surface of liquid.

If capillary is of insufficient length above the liquid level, the liquid rises upto the top of capillary and its surface acquires a new shape having a large radius of curvature. h also depends on the inner radius of the tube.

Different liquids have different intermolecular forces. The stronger the intermolecular forces within the liquid, the higher the liquid rises in the capillary tube.

Why water rises in a capillary tube but mercury falls in the same to you? ›

The mercury has higher cohesive forces compared to adhesive forces. Therefore, the molecules of mercury are more attracted towards its own molecules than the capillary walls. So, level of mercury will fall.

The weight of the water column rise in the tube is balanced by the surface tension force of water. A capillary tube has a very fine bore and as a result of which the height of water that rise up becomes large. In case of a tube of wide bore the height becomes so small that it is not even perceptible .

When two capillary tubes of different diameters are dipped vertically, the rise of the liquid is : same in both the tubes.

If a liquid rises to the same height in two capillaries of the same material at the same temperature, then: The capillaries must be cylindrical and vertical. The hydrostatic pressure at the base of capillaries must be same. The weight of liquid in both capillaries must be equal.

It occurs because of intermolecular forces between the liquid and surrounding solid surfaces. If the diameter of the tube is sufficiently small, then the combination of surface tension (which is caused by cohesion within the liquid) and adhesive forces between the liquid and container wall act to propel the liquid.

A capillary tube is immersed vertically in water and the height of the water column is x. When this arrangement is taken into a mine of depth d, the height of the water column is y. If R is the radius of the earth, the ratio xy is : (1−dR)

If capillary is of insufficient length above the liquid level, the liquid rises upto the top of capillary and its surface acquires a new shape having a large radius of curvature. h also depends on the inner radius of the tube.

Capillary rise is inversely proportional to the capillary diameter. Historically, many scientists have investigated this phenomenon, from Leonardo da Vinci to Hauksbee and Jurin. This property is now referred to as Jurin's law.

h=2Tcosθrpg.