Answer :
Final Answer:
The height of capillary rise in a clean glass tube inserted in pure water depends on the tube's inner diameter and the properties of water, such as surface tension and density.
Explanation:
Capillary rise is a phenomenon where a liquid, in this case, water, rises in a narrow tube due to the combination of adhesive and cohesive forces. Adhesive forces between the water and the tube's surface make the water "wet" the tube, while cohesive forces within the liquid cause it to climb the tube against gravity.
The height of capillary rise can be calculated using the Jurin's law equation:
\[h = \frac{2T\cos\theta}{r\rho g}\]
Where:
h is the height of capillary rise.
T is the surface tension of water.
theta is the contact angle between water and the tube's surface.
r is the radius of the tube.
rho is the density of water.
g is the acceleration due to gravity.
In this scenario, we need to know the inner diameter of the glass tube (\(2r\)), the contact angle (\(\theta\)), and the properties of water to calculate the exact height of capillary rise. The contact angle is influenced by the tube's material, cleanliness, and other factors.
The smaller the tube's inner diameter and the larger the surface tension of water, the higher the capillary rise will be. The physics of capillary action and Jurin's law to understand this phenomenon in depth.
Learn more about surface tension
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