Two communicating vessels contain mercury. One vessel diameter is n times the other. A water column of height h is poured into the narrower vessel. If s is the relative density of mercury, find the mercury rise in the wider vessel. Image
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Question

Two communicating vessels contain mercury. One vessel diameter is n times the other. A water column of height h is poured into the narrower vessel. If s is the relative density of mercury, find the mercury rise in the wider vessel. Image

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G1 Physics · Accepted Answer

Step 1: Use hydrostatic equilibrium, P₂−P₁ = ρgΔh; in an accelerating fluid replace g by the effective acceleration where required. Step 2: Equate pressures at the same horizontal level or integrate pressure over the stated surface. Applying these relations to the given data gives B: h/((n²+1)s). Final answer: B.