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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



Your Answer
A

Correct Answer
B

Your Answer
C

Your Answer
D


Solution

The correct option is A


If the level in narrow tube goes down by h1 then in wider tube goes up to h2,

Now, πr2h1=π(nr)2h2h1=n2h2

Now, pressure at point A = pressure at point B

hρg=(h1+h2)ρ g

h=(n2h2+h2)sg(As s=ρρ)h2=h(n2+1)s

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