Two communicating vessels contain mercury. The diameter of one vessel is n times larger than the diameter of the other. A column of water of height h is poured into the left vessel. The mercury level will rise in the $$right-hand$$ vessel (s$$ $$=$$ relative density of mercury and ρ $$=$$ density of $$water) by

Question

Two communicating vessels contain mercury. The diameter of one vessel is n times larger than the diameter of the other. A column of water of height h is poured into the left vessel. The mercury level will rise in the $$right-hand$$ vessel   (s$$ $$=$$ relative density of mercury and  ρ $$=$$ density of $$water) by

Infinity Learn · Accepted Answer

If the level in narrow tube goes down by $$h1$$ then in wider tube goes up to $$h2$$, Now,  π$$r2h1=$$π(nr)2h2$$⇒$$h1=n2h2Now$$, pressure at point A $$=$$ pressure at point Bhρ$$g=(h1+h2)ρ'g⇒$$h=n2h2+h2s$$⁡ As $$s=$$ρ′ρ ⇒$$h2=hn2+1s$$

Two communicating vessels contain mercury. The diameter of one vessel is n times larger than the diameter of the other. A column of water of height h is poured into the left vessel. The mercury level will rise in the right-hand vessel (s = relative density of mercury and $ρ$ = density of water) by

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Two communicating vessels contain mercury. The diameter of one vessel is n times larger than the diameter of the other. A column of water of height h is poured into the left vessel. The mercury level will rise in the right-hand vessel (s = relative density of mercury and ρ = density of water) by

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Ready to Test Your Skills?

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Two communicating vessels contain mercury. The diameter of one vessel is n times larger than the diameter of the other. A column of water of height h is poured into the left vessel. The mercury level will rise in the right-hand vessel (s = relative density of mercury and $ρ$ = density of water) by