Two communication vessels contain mercury. The diameter of one vessel in n times larger than the diameter of the other. A column of water of height…

Q: Two communication vessels contain mercury. The diameter of one vessel in 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

Numerical

(a) $\displaystyle \frac{n^2 h}{(n + 1)^2 s } $

(b) $\displaystyle \frac{h}{(n^2 + 1) s} $

(c) $\displaystyle \frac{h}{(n + 1)^2} s $

(d) $\displaystyle \frac{h}{n^2 s} $

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Ans: (b)