Tag: fluid pressure

Questions Related to fluid pressure

The pressure at the bottom of a water tank is 4P, where P is atmospheric pressure. If water is drawn out till the water level decrease by $\frac{3}{5}$ the, then pressure at the bottom of the tank is 

  1. $\frac{3P}{8}$

  2. $\frac{7P}{6}$

  3. $\frac{11P}{5}$

  4. $\frac{9P}{4}$


Correct Option: C

The side of glass aquarium is $1m$ high and $2m$ long. When the aquarium is filled to this is the total force against the side-

  1. $980 \times {10^3}N$

  2. $9.8 \times {10^3}N$

  3. $0.98 \times {10^3}N$

  4. $0.098 \times {10^3}N$


Correct Option: C

Find the force exerted by water on the bottom

  1. 303 N

  2. 211 N

  3. 102 N

  4. 10 N


Correct Option: C

A gas cylinder containing cooking gas can withstand a pressure of  $14.9 atm. $ The pressure gauge of cylinder indicates  $12 atm $ at  $27 ^ { \circ } \mathrm { C } . $  Due to sudden fire in building the temperature starts rising. The temperature at which the cylinder explodes is

  1. $42.5 ^ { \circ } C$

  2. $67.8 ^ { \circ } C$

  3. $99.5 ^ { \circ } C$

  4. $25.7 ^ { \circ } C$


Correct Option: C

At the mouth of the tap, the area of cross-section is $2.0cm^{2}$ and the speed of water is $3m/s$. The area of cross-section of the water column $80cm$ below the tap is $(use g=10m/s^{2})$

  1. $0.6cm^{2}$

  2. $1.2cm^{2}$

  3. $1.5cm^{2}$

  4. $2.0cm^{2}$


Correct Option: A

oil bath (density of oil$=0.85\times { 10 }^{ 3 }kg/m^{ 3 })$ has a spherical cavity of diameter $26\times { 10 }^{ -6 }$ m at a depth of 0.2 face tension of oil is $26\times { 10 }^{ -3 }$ N/m and the pressure of air over the surface of oil is 76 cm of mercury, the 

  1. $1.03\times 105N/m^{ 2 }$

  2. $1.17\times { 10 }^{ 5 }N/m^{ 2 }$

  3. $3.07\times { 10 }^{ 5 }N/m^{ 2 }$

  4. $1.07\times { 10 }^{ 5 }N/m^{ 2 }$


Correct Option: C

A jet of water with cross section of $6{ cm }^{ 2 }$ strikes a wall at an angle of ${ 60 }^{ \circ  }$ to the normal and rebounds elastically from the wall without losing energy. If the velocity of the water in the jet is $12 m/s$, the force acting on the wall is

  1. $0.864N$

  2. $86.4N$

  3. $72N$

  4. $7.2N$


Correct Option: B
Explanation:
F = $\dfrac{dP}{dt}$
   = $\dfrac{2 dm V\cos 60^o}{dt}$
   = $\dfrac{2 (\rho A dx) V\cos 60^o}{dt}$
   = $2 \rho A {V}^2\cos 60^o$
   = ${10}^3\times 6\times {10}^{-4} \times{12}^2$
   =$86.4N$

The Kinetic energy per cubic metre of a perfect gas at N.T.P. is ( Take atmospheric pressure $ = 1 \times {10^5}N/{m^2})$)

  1. $1.5 \times {10^5}J/{m^3}$

  2. $2 \times {10^5}J/{m^3}$

  3. $0.75 \times {10^5}J/{m^3}$

  4. $2.5 \times {10^5}J/{m^3}$


Correct Option: B

Power of a water pump is 2 kW. If $g=m/{ sec }^{ 2 }$, The amount of water it can raise in one minute to a height of 10 m/s 

  1. 100 Litre

  2. 1200 Litre

  3. 1000 Litre

  4. 2000 Litre


Correct Option: B

A wide vessel with a small hole in the bottom is filled with water and kerosene. Neglecting the viscosity, find the velocity of the water flow, if the thickness of the water layer is equal to $\mathrm { h } _ { 1 } = 30 \mathrm { cm }$ and that of the kerosene layer to $h _ { 2 } = 20 \mathrm { cm }$.Density of kerosene $= 600 \operatorname { kg } / m ^ { 3 }$

  1. $5.74 \mathrm { ms } ^ { - 1 }$

  2. $1.91 \mathrm { ms } ^ { - 1 }$

  3. $2.87 \mathrm { ms } ^ { - 1 }$

  4. $3.82 \mathrm { ms } ^ { - 1 }$


Correct Option: C