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Fluid Mechanics and Surface Tension question bank (Physics)

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Q1.

$A$ liquid kept in a cylindrical vessel is rotated about a vertical axis passing through the center of the circular base. The difference in the heights of the liquid at the center of the vessel and its edge is ($R=$ radius of vessel,$\omega=$ angular velocity of rotation,$g=$ acceleration due to gravity).

(A)

$\frac{R^{2} \omega^{2}}{g}$

(B)

$\frac{R \omega}{g}$

(C)

$\frac{R \omega}{2 g}$

(D)

$\frac{R^{2} \omega^{2}}{2 g}$

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Q2.

The temperature of an air bubble while rising from the bottom to the surface of a lake remains constant, but its diameter is doubled. If the pressure on the surface is $h$ meters of mercury column and the relative density of mercury is $\rho$, then the depth of the lake is: (in $\rho h$)

(A)

$5$

(B)

$7$

(C)

$8$

(D)

$15$

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