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Answer :
The height of the liquid column in a glass capillary tube of radius 0.02 cm, when a liquid rises to 4.5 cm in a capillary tube of radius 0.01 cm, is 2.25 cm. This is because the height of the liquid column is inversely proportional to the radius of the capillary tube.
Pertains to the height to which a liquid rises in a capillary tube due to capillary action. Given that a liquid rises to a height of 4.5 cm in a glass capillary tube of radius 0.01 cm, the student wishes to determine the height of the liquid column in a glass capillary tube of radius 0.02 cm, assuming all other factors remain constant.
Capillary action involves the movement of liquid within the spaces of a porous material due to the forces of adhesion, cohesion, and surface tension. The height to which the liquid rises is inversely proportional to the radius of the capillary tube, as given by the capillary rise formula:
h1 * r1 = h2 * r2
Where h1 and h2 are the heights of the liquid in the first and second tubes, respectively, and r1 and r2 are the radii of the first and second tubes, respectively. Using this equation, the height h2 in the second tube can be calculated as follows:
h2 = (h1 * r1) / r2
h2 = (4.5 cm * 0.01 cm) / 0.02 cm = 2.25 cm
Therefore, the height of the liquid column in the glass capillary tube of radius 0.02 cm is 2.25 cm.
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