Class 11

Fluid Mechanics and Surface Tension question bank (Physics)

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Q1.

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 $\rho =$ density of water) by

(A)

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

(B)

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

(C)

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

(D)

$\frac{h}{n^2 s}$

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Q2.

When two metals of equal volume are mixed,the relative density of the mixture is $4$. When equal masses of these two metals are mixed,the relative density of the mixture is $3$. What are the relative densities of the two metals?

(A)

$\rho_1 = 6$ and $\rho_2 = 2$

(B)

$\rho_1 = 3$ and $\rho_2 = 5$

(C)

$\rho_1 = 12$ and $\rho_2 = 4$

(D)

None of these

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