Water fills a beaker of radius R to height h. Water density is ρ, surface tension is T and atmospheric pressure is P₀. For a vertical diametral section ABCD, find the magnitude of force exerted by water on one side of the section on the water on the other side. Image
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Question

Water fills a beaker of radius R to height h. Water density is ρ, surface tension is T and atmospheric pressure is P₀. For a vertical diametral section ABCD, find the magnitude of force exerted by water on one side of the section on the water on the other side. Image

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G1 Physics · Accepted Answer

Step 1: Use surface-energy/pressure relations: ΔP = 2T/R for a liquid drop or 4T/R for a soap bubble, capillary rise h = 2T cosθ/(ρgr), and surface energy = TΔA. Step 2: Apply force or energy balance to the stated radii and surface areas. Applying these relations to the given data gives B: |2P₀Rh + Rρgh² − 2RT|. Final answer: B.