Pressure inside a liquid

The figure shows connected tubes with a horizontal base. If water is poured gradually, the height of the water in the branches A, B, and C at equilibrium is ______.

• $h_A=h_B=h_C$

• $h_B>h_C>h_A$

• $h_B=h_A<h_C$

• $h_B<h_C<h_A$

The given figure shows a glass container of height 42 cm completely filled with water. If the pressure due to water on point 𝐴 is 𝑃 and that at the base of the container is 3𝑃,then height ℎ from the base of the container to point 𝐴 is equal to .

• 14 cm

• 28 cm

• 37 cm

• 21 cm

A submarine changes its depth in the ocean, which causes the pressure to change by $0.09\ MPa$ . Given that the density of ocean water is about $1‎‎040\ kg/m^3$ ,find the change of the submarine’s depth in the water. Let  $g=10\ m/s^2$  .

• 9.00 m

• 0.88 m

• 0.12 m

• 8.65 m

In the following figure, if the density of the seawater is higher than that of the swimming pool water, which swimmer is exposed to higher pressure?

• (C)

• (B)

• (A)

• (D)

The pressure on a point at a depth of 6 cm in a beaker which contains oil is $0.5×10^3Pa$ . Find the density of the oil in terms of the acceleration due to gravity, 𝑔.

•  $\frac{(1.2\times10^4)}{g}\ kg/m^3$  

•  $\frac{(1\times10^4)}{g}\ kg/m^3$  

•  $\frac{(5\times10^2)}{g}\ kg/m^3$  

•  $\frac{(8.3\times10^3)}{g}\ kg/m^3$  

An oil leak left a 0.4 m thick layer of oil floating on top of the seawater. Calculate the pressure due to the water and the oil 2.1 m below water surface.

 $ρ_{oil}=850\ kg/m^3,\ ρ_{water}=1000kg/m^3,\ and\ g=9.8m/s^2.$ 

•  $45‎‎325\ N/m^2$  

•  $33248\ N/m^2$  

•  $23912\ N/m^2$  

•  $21413\ N/m^2$  

The figure below shows a reservoir on a hill. The reservoir supplies water to a water tank on a tall building. Calculate the water pressure at X. (Density of water = $1000\ kg\ m^{–3}$ )

•  $1.4\times10^9\ Nm^{-2}$  

•  $1.4\times10^2\ Nm^{-2}$  

•  $1.4\times10^5\ Nm^{-2}$  

•  $1.4\times10^8\ Nm^{-2}$  

A coin sinks to a depth of 5 m in a liquid of density $800\ kg.m^{–3}$ . At what depth, in a different liquid of density $600\ kg.m^{–3}$ , will the coin be subjected to the same pressure?

• 5.67 m

• 6.67 m

• 8.67 m

• 9.67 m

Two identical containers containing liquid M and liquid N with 28 cm height and 20 cm height respectively. Both containers produce the same water spurt.
If the density of liquid M is $2.0\ g/cm^3$ , find the density of liquid N.

•  $0.70\ g.cm^{-3}$  

•  $1.40\ g.cm^{-3}$  

•  $1.43\ g.cm^{-3}$  

•  $2.80\ g.cm^{-3}$  

A beaker is filled with a liquid up to a height h. If A and B are two points, one on the free surface and one at the base as shown, such that the minimum distance between the two is l, what will be the pressure at point B?

• $ρgl$

• $ρgh$

• $ρg\sqrt{(l^2+h^2)}$

• $ρg\sqrt{(l^2-h^2)}$