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Answer :
The liquid will rise to a height that is double the height in the first tube.
According to the formula for capillary action, the height to which the liquid will rise in the capillary tube is directly proportional to the surface tension of the liquid and inversely proportional to the density of the liquid and the radius of the tube. Since the second glass capillary tube has a radius half that of the first tube, the liquid will rise to a height that is double the height in the first tube. Therefore, the rise of liquid in the second tube will be 5 cm.
formula for the height of the liquid inside the capillary tube relative to the surface of the liquid outside the tube is given by 2T cos θ h = ρgr, where T is the surface tension of the liquid, θ is the contact angle between the liquid and the tube, r is the radius of the tube, ρ is the density of the liquid, and g is the acceleration due to gravity. For water in a glass tube, the contact angle is 0°.
complete question:
a liquid rises in glass capillary tube upto a height of 2.5 cm at room temperature. if another glass capillary tube having radius half that of the earlier tube is immersed in the same liquid, the rise of liquid in it will be .
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