Answer :
Final answer:
Capillary action is the rise of a liquid in a narrow tube due to adhesive and cohesive forces. To find the new height of water in a capillary tube with radius 2r, substitute 2r into the capillary action equation and solve for h.
Explanation:
Capillary action is the rise of a liquid in a narrow tube due to the combination of adhesive forces between the liquid and the tube and cohesive forces within the liquid. The height to which a liquid will rise is given by the equation:
h = 2T cos θ / (rpg) Where h is the height of the liquid, T is the surface tension of the liquid, θ is the contact angle between the liquid and the tube (0° for water in a glass tube), r is the radius of the tube, p is the density of the liquid, and g is the acceleration due to gravity. When the radius of the capillary tube is doubled (2r), the height to which the water will rise changes. To find the new height, we can substitute the new radius (2r) into the equation and solve for h.
