Pressure at a Depth in a Liquid

Q.

The three vessels shown in figure have same base area. Equal volumes of a liquid are poured in three vessels. The force on the base will be

1. Maximum in vessel C

2. Equal in all the vessels

3. Maximum in vessel B

4. Maximum in vessel A

Q.

How does the pressure exerted by a liquid depend on its density?

Q. The pressure exerted by two liquids of different densities is the same at the same depth.

1. False
2. True

Q. Pressure at the bottom of fully filled liquid vessel depends only on _____ of vessel.

1. shape
2. width
3. density
4. depth

Q. What length of water column has an equivalent pressure to $0.86\text{m}$ of mercury column if the density of mercury is $13.6$ times that of water? (Assume both the liquids are in identical tubes) $\left[1\text{mark}\right]$

A. $11.696\text{m}$
B. $10.696\text{m}$
C. $13.423\text{m}$
D. $12.696\text{m}$

Q. A body is fully immersed in the water. Which of the following will result in the increase of pressure exerted on the bottom surface of the body?

1. Increasing the density of water
2. Increasing the height of water
3. Increasing the density of the body
4. Increasing the air pressure above water

Q. A thin square plate of side $4m$ is placed horizontally $2m$ below the surface of water. Calculate the thrust on one of the surface of the plate.
(Given: Atmospheric pressure, $P_{atm}=1.013\times {10}^{5}N/m^2$
Density of water, ${\rho }_w$ = $1000kg/m^3$,
Acceleration due to gravity, $\left(g\right)=9.8m{s}^{-1}$)

1. $19.344\times {10}^{5}N$

2. $19.344\times {10}^{3}N$

3. $21.344\times {10}^{5}N$

4. $17.344\times {10}^{5}N$

Q. A submarine experiences a pressure of $5.05\times {10}^{6}Pa$ at a depth of $d_1$ in a sea. When it goes further to a depth of $d_2$, it experiences a pressure of $8.08\times {10}^{6}Pa$. Then $d_2-d_1$ is approximately (density of water $={10}^{3}kg/m^3$ and acceleration due to gravity $=10m/s^2$)

1. $400m$
2. $300m$
3. $600m$
4. $500m$