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Q.

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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a

n2h(n+1)2s

b

h(n2+1)s

c

h(n+1)2s

d

hn2s

answer is B.

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Detailed Solution

πr2h1=π(nr)2h2 h1=n2h2 Now pressure at point A = pressure at point B hρg=h1+h2ρg h=n2h2+h2sg alsos=ρρ h2=hn2+1s

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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