Tag: fluid pressure

Questions Related to fluid pressure

Two containers $A$ and $B$ are partly filled with water and closed. The volume of $A$ is twice that of $B$ and it contains half the amount of water in $B$. If both are at the same temperature the water vapour in the containers will have pressure in the ratio of

physics option b: engineering physics buoyancy floatation fluid pressure

  1. $1:2$

  2. $1:1$

  3. $2:1$

  4. $4:1$

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Correct Option: C

A large open tank has two holes in the wall. One is a square hole of side L at a depth y from the top and the other is a circular hole of radius R at a depth 4y from the top. When the tank is completely filled with water. The quater of water flowing out per second from both holes are the same. Then radius R, is equal to :

physics option b: engineering physics buoyancy floatation fluid pressure

  1. $\dfrac { L }{ \sqrt { 2\pi } } $

  2. $2\pi L$

  3. L

  4. $\dfrac { L }{ 2\pi } $

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Correct Option: D

The hydrostatic pressure on a diver $100m$ below the surface of an ocean is

physics option b: engineering physics buoyancy floatation fluid pressure

  1. $1$ atm

  2. $2$ atm

  3. $11$ atm

  4. $20$ atm

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Correct Option: C

Two vessels of volume 100 c.c and 150 c.c contains gases at pressure of 1 atm and 2 atm. When they are joined the common pressure is 

physics option b: engineering physics buoyancy floatation fluid pressure

  1. 2 atm

  2. 1.5 atm

  3. 1.6 atm

  4. 1 atm

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Correct Option: A

A tank of height H is fully filled with water.If the water rushing from a made in the tank below the free surface,strikes the floor at maximum horizontal distance then depth of the hole from the free surface must be.

physics option b: engineering physics buoyancy floatation fluid pressure

  1. $ \left( \frac { 3 }{ 4 } \right) H $

  2. $ \left( \frac { 2 }{ 3 } \right) H $

  3. $ \left( \frac { 1 }{ 4 } \right) H $

  4. $ \left( \frac { 1 }{ 2 } \right) H $

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Correct Option: A

A conical portion is cut out of a solid hemisphere of radius R and the remaining portion is held in a liquid of density $ \rho $ through a string as shown in the figure.What is the net force exerted by the liquid on the body.

physics option b: engineering physics buoyancy floatation fluid pressure

  1. $ \frac {1}{6} \pi R^3 \rho g $

  2. $ \frac {1}{3} \pi R^3 \rho g $

  3. $ \frac {1}{4} \pi R^3 \rho g $

  4. $ \frac {1}{2} \pi R^3 \rho g $

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Correct Option: A

Mark out the correct statement(s)

physics option b: engineering physics buoyancy floatation fluid pressure

  1. Net force acting on the base of the vessel > weight of the liquid inside the vessel

  2. Net force acting on the base of the vessel $=$ weight of the liquid inside the vessel

  3. Net pressure force acting on the liquid $=$ weight of the vessel

  4. Both (a) and (c) are correct

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Correct Option: D
Explanation:

Weight of the liquid inside the vessel,

$W=\rho(A _1\times \dfrac{5}{100}+A _2\times \dfrac{1}{100})g=1N$
So, $F>W$
Net force on the liquid is zero.

Pressure on a swimmer at depth H below free surface of water is 3 atm.Then H is

physics option b: engineering physics buoyancy floatation fluid pressure

  1. 10 m

  2. 30 m

  3. 20 m

  4. 50 m

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Correct Option: A

$28\, gm$ of $N _2$ gas is contained in a flack at a pressure of $10\, atm$ and at a temperature of $57^0$. It is found that due to leakage in the flask, the pressure is reduced to half and the temperature reduced to $27^0 C$. The quantity of $N _2$ gas that leaked out is :-

physics option b: engineering physics buoyancy floatation fluid pressure

  1. $\dfrac{11}{20}\, gm$

  2. $\dfrac{20}{11}\, gm$

  3. $\dfrac{5}{63}\, gm$

  4. $\dfrac{63}{5}\, gm$

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Correct Option: D

A uniform solid cylinder of density $ 0.8 g/cm^3 $ floats in equilibrium in a combination of teo non-mixing liquid A and B with its axis vertical. the densities of liquid A ad B with its axis vertical. the densities of liquid A and B are $ 0.7 g /cm^3 $ and $ 1.2 \times gm/cm^3 $. the height of liquid A is $ h _A = 1.2 cm $ and the length of the part of cylinder immersed in liquid B is $ h _B = 0.8 cm $ then the length of the cylinder in air is

physics option b: engineering physics buoyancy floatation fluid pressure

  1. 0.21 m

  2. 0.25 cm

  3. 0.35 m

  4. 0.4 cm

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Correct Option: C