Tag: fluid pressure

Questions Related to fluid pressure

Water is floating smoothly through a closed-pipe system. At one point $A$, the speed of the water is $3.0\ m$ while at another point $B$, $1.0\ m$ higher, the speed is $4.0\ m/s$. The pressure at $A$ is $20\ kPa$ when the flowing $18\ kPa$ when the water flow stop. Then

physics option b: engineering physics buoyancy floatation fluid pressure

  1. the pressure at $B$ when water is flowing is $6.5\ kPa$

  2. the pressure at $B$ when water is flowing is $8.0\ kPa$

  3. the pressure at $B$ when water is flowing is $10\ kPa$

  4. None of these

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Correct Option: A,C

A cylindrical container is filled with water upto the brim. If the pressure exerted by the water at the bottom of the container is 1000 Pa the height of the container is ..........cm.(take $g = 10 m s^{-2}$)

physics option b: engineering physics buoyancy floatation fluid pressure

  1. 10

  2. 100

  3. 1

  4. 20

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Correct Option: A
Explanation:

pressure inside a fluid = $\rho gh$ , in this case $\rho$ = 1000 kg $  m^{3}$

so , 
1000 =  (1000)(10) (h)
hence h = 0.1 m = 10 cm
hence option (A) is correct

Two vessels have different base area. They are filled with water to the same height. If the amount of water in one be $4$ times that in the other, then the ratio of pressure on their bottom will be :

physics option b: engineering physics buoyancy floatation fluid pressure

  1. $16:1$

  2. $8:1$

  3. $4:1$

  4. $1:1$

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Correct Option: C

A cylinder at a certain ternperature has a gas at a pressure ot $50cm$ of Hg.Then it is divided into three equal parts so that the gas in the central part is completely transferred to either equally. Find the pressure of the gas in each portion.

physics option b: engineering physics buoyancy floatation fluid pressure

  1. $10cm$

  2. $20cm$

  3. $75cm$

  4. $100cm$

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Correct Option: B

The length of vacuum above mercury column in a barometer is $10cm/cc$ of air from outside where the pressure is $76cm$ of Hg is passed into the barometer tube. The area of cross section of the tube is $1{ cm }^{ 2 }$.The height of the mercury column then will be

physics option b: engineering physics buoyancy floatation fluid pressure

  1. $71cm$

  2. $72cm$

  3. $73cm$

  4. $74cm$

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Correct Option: C

a circular tank has a hole of 1 cm^2 in its bottom. if the watre is allowed to flow into tank from a tube above it at the rate of $70 cm^3/sec$ then the max height upto which water can rise in the tank

physics option b: engineering physics buoyancy floatation fluid pressure

  1. 2.5 cm

  2. 5 cm

  3. 10 cm

  4. 0.25 cm

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Correct Option: C

A beaker is filled with a liquid of density $\rho$ upto a height h. If the beaker is at rest , the mean pressure on the walls is 

physics option b: engineering physics buoyancy floatation fluid pressure

  1. $0$

  2. $h \rho g$

  3. $\dfrac{h \rho g}{2}$

  4. $2 h \rho g$

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Correct Option: C

Water in a storage tank stands $2.5m$ above the level of a value in the side of the tank. With what speed the water will rush out of the value (neglecting friction)

physics option b: engineering physics buoyancy floatation fluid pressure

  1. $5m/s$

  2. $7m/s$

  3. $9m/s$

  4. $11m/s$

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Correct Option: C

Water enters a house through a pipe with an inside diameter of $2 \,cm$ at an absolute pressure of $4 \times 10^5 \,Pa$. A pipe of diameter $1 \,cm$ leads to the second floor room $5 \,m$ above the entry point. When the flow speed at the inlet is $1.5 \,m/s$. Which of the following statements are correct.

physics option b: engineering physics buoyancy floatation fluid pressure

  1. Flow speed on the second floor room is $6 \,m/s$

  2. Volume flow rate in the second floor room is nearly $0.47 \,L/s$

  3. Water pressure in the second floor room is approximately $3.33$ atmosphere

  4. Water pressure in the second floor room is $3.50$ atmosphere

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Correct Option: C
Explanation:

$4 \times 10^5 + \dfrac{1}{2} \times 1000 \times (1.5)^2 = P _2 + \dfrac{1}{2} \times 1000 \times (6)^2 + 1000 \times 10 \times 5$

$10^3 \left(400 + \dfrac{g}{\theta} \right) = P _2 + 10^3 (10 + 50)$

$P _2 = 10^3 \left(\dfrac{320 \,g}{\theta} - 6\theta \right)$

$= 10^3 \left(\dfrac{320 \,g - 544}{\theta}\right)$

= $10^3 \dfrac{2665}{\theta}$

$= 10^3 \times 333$
$= 3.33 \,atm$

A cylinder is filled with a liquid of density d upto a height h.if the beaker is at rest , then the mean pressure on the wall is :-

physics option b: engineering physics buoyancy floatation fluid pressure

  1. $Zero$

  2. $hdg$

  3. $\frac{h}{2}dg$

  4. $2 hdg$

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Correct Option: D