Liquid Pressure

Q. Density of mercury is more than that of water.

1. True
2. False

Q.

The pressure exerted by a liquid at depth $h$ is ____.
(All terms have their standard meanings)

1. $h\rho g-P_{\circ }$
2. $h\rho g$
3. $P_{\circ }+h\rho g$
4. $P_{\circ }$

Q.

A bottle kept on a table started leaking when two holes were made at the same level, the liquid through both the holes falls at the same distance from the bottle. This is because:

1. The liquid inside the bottle is exerting equal pressure in all directions at the same level

2. The liquid inside is not exerting any pressure on the bottle

3. The liquid is exerting unequal pressure in all directions at the same level

4. Can't be said

Q.

The pressure $P_1$ at the top of a dam and $P_2$ at a depth $h$ from the top are related as:

1. $P_1>P_2$

2. $P_1=P_2$

3. $P_1-P_2=\rho gh$

4. $P_2-P_1=\rho gh$

Q.

Pressure at the same level in a water tank is

1. Equal in all directions

2. Unequal in all directions

3. Same at every level

4. None of these

Q.

Two identical cubes A and B are placed in a tank containing a liquid as shown below. Choose the correct statement regarding pressures exerted on them.

1. A

2. B

3. Both Same

4. None of these

Q.

Calculate the pressure at a depth of $50m$ below sea level.

Given:
Density of sea water = $1024kg/m^3$.
And, acceleration due to gravity $g=10m/s^2$

1. None of these

2. 512000 Pa

3. 51200 Pa

4. 5120 Pa

Q.

Three vessels A, B, and C of the same dimensions are filled with a liquid up to 1 m, 3 m and 1.5 m above the ground respectively. The pressure at the base of vessel is maximum in

1. A

2. B

3. C

4. Pressure is equal in all vessels

Q.

An open beaker kept on a table started leaking when two holes were made at the same level. This is because

1. The liquid inside the bottle is exerting equal pressure in all directions at the same level

2. The liquid inside is not exerting any pressure on the bottle

3. The liquid is exerting unequal pressure in all directions at the same level

4. Can't be said

Q.

Water and oil are taken in two separate beakers, the density of water is $1000kg/m^3$ and the density of oil is $1500kg/m^3$. At what depth, the pressure in oil beaker will be the same as the pressure at $150cm$ in the water beaker? (Acceleration due to gravity = $10m/s^2$)

1. $150cm$

2. $50cm$

3. $75cm$

4. $100cm$