KVPY SA Exam 19-Nov-2017 Question Paper

Question : 25 of 80

Marks: +1, -0

A cylindrical vessel of base radius R and height H has a narrow neck of height h and radius r at one end (see figure). The vessel is filled with water (density

\ρ_\w

) and its neck is filled with immiscible oil (density

\ρ_\O

). Then the pressure at

M is $\g(\h\ρ_0+ \H\ρ_\w )$
N is $\g(\h\ρ_0+ \H\ρ_\w )\r^2/\R^2$
M is $\g\H\ρ_\w$
N is $\g{\ρ_\w\HR^2+\ρ_0\hr^2}/{\R^2+\r^2}$

Validate

Solution:

Pressure at same height is same

\P_\M = \P_\N = \ρ_0\gH + \ρ\w\gH

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