Home
Class 11
PHYSICS
A cylindrical tank having cross-sectiona...

A cylindrical tank having cross-sectional area `A = 0.5 m^(2)` is filled with two liquids of density `rho_(1)=900 kg m^(-3)` and `rho_(2)=600 kgm^(-3)`, to a height `h=60cm` each as shown in the figure. A small hole having area `a=5cm^(2)` is made in right vertical wall at a height `y = 20 cm` from the bottom. A horizontal force `F` is applied on the tank to keep it in static equilibrium. The tank is lying on a horizontal surface. Neglect mass of the cylindrical tank in comparison to mass of the liquids (`ake `g = 10 ms^(-2)`).

The horizontal force required to keep the cylinder in static equilibrium, on a smooth horizontal plane is

Text Solution

Verified by Experts

The correct Answer is:
[(a) 4m/s, (b) 7.2 N, (c) Zero, 52.2 N]
Promotional Banner

Topper's Solved these Questions

  • FLUID MECHANICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Advanced MCQ with one or more options correct|18 Videos

  • GRAVITATION

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical|94 Videos

Similar Questions

Explore conceptually related problems

A cylindrical tank having cross-sectional area A = 0.5 m^(2) is filled with two liquids of density rho_(1)=900 kg m^(-3) and rho_(2)=600 kgm^(-3) , to a height h=60cm each as shown in the figure. A small hole having area a=5cm^(2) is made in right vertical wall at a height y = 20 cm from the bottom. A horizontal force F is applied on the tank to keep it in static equilibrium. The tank is lying on a horizontal surface. Neglect mass of the cylindrical tank in comparison to mass of the liquids ( ake g = 10 ms^(-2) ). The velocity of efflux is

A cylindrical tank having cross-sectional area A = 0.5 m^(2) is filled with two liquids of density rho_(1)=900 kg m^(-3) and rho_(2)=600 kgm^(-3) , to a height h=60cm each as shown in the figure. A small hole having area a=5cm^(2) is made in right vertical wall at a height y = 20 cm from the bottom. A horizontal force F is applied on the tank to keep it in static equilibrium. The tank is lying on a horizontal surface. Neglect mass of the cylindrical tank in comparison to mass of the liquids ( ake g = 10 ms^(-2) ). The velocity of efflux is

A cylindrical tank having cross-sectional area A = 0.5 m^(2) is filled with two liquids of density rho_(1)=900 kg m^(-3) and rho_(2)=600 kgm^(-3) , to a height h=60cm each as shown in the figure. A small hole having area a=5cm^(2) is made in right vertical wall at a height y = 20 cm from the bottom. A horizontal force F is applied on the tank to keep it in static equilibrium. The tank is lying on a horizontal surface. Neglect mass of the cylindrical tank in comparison to mass of the liquids ( ake g = 10 ms^(-2) ). The velocity of efflux is

A cylindrical tank having cross - sectional area A = 0.5 m^(2) is filled with two liquids of density rho_(1)= 900 " kg "m^(-3) and rho_(2) = 600 " kg "m^(-3) , to a height h = 60 cm^(2) each.A small hole having area a=5 cm^2 is made in right vertical wall at a height y = 20 cm from the bottom . A horizontal force F is applied on the tank to keep it in static equilibrium . The tank is lying on a horizontal surfaces . Neglect mass of cylindrical tank camparison to mass of liquids ( take g = 10 ms^(-2) ) Horizontal force F to keep the cylinder in static equilibrium , if it is placed on a smooth horizontal thrust exerted by fluid jet . But that is equal to mass flowing per second xx change in velocity of this mass :. " " F = (avrho) (v-0) = a rho v^(2) or F = 7.2 N

A cylindrical tank having cross - sectional area A = 0.5 m^(2) is filled with two liquids of density rho_(1)= 900 " kg "m^(-3) and rho_(2) = 600 " kg "m^(-3) , to a height a = 6 cm^(2) is made in right vertical wall at a height y = 20 cm from the bottom . A horizontal force F is applied on the tank to keep it in static equilibrium . The tank is lying on a horizontal surfaces . Neglect mass of cylindrical tank camparison to mass of liquids ( take g = 10 ms^(-2) ) Minimum and maximum values of F to keep the cylinder in static just after the water starts to spill through the hole . If the co - efficient of static friction between contact surfaces is 0.01

A cylindrical vessel of a very large cross sectional area is containing two immiscible liquids of density rho_(1)=600kg//m^(3) and rho_(2)=1200kg//m^(3) as shown in the figure. A small hole having cross sectional area 5cm^(2) is made in right side vertical wall as shown. Take atmospheric pressure as p_(0)=10^(5)N//m^(2), g=10m//s^(2) . For this situation mark out the correct statement (s). Take cross sectional area of the cylindrical vessel as 1000cm^(2) . Neglect the mass of the vessel.

A vessel is filled with two different liquids of densities rho and 2 rho respectively as shown in the figure. The velocity of flow of liquid through a hole at height (h)/(2) from bottom is

Water is filled in a container upto height 3m. A small hole of area 'a' is punched in the wall of the container at a height 52.5 cm from the bottom. The cross sectional area of the container is A. If a//A=0.1 then v^2 is (where v is the velocity of water coming out of the hole)

A long cylindrical tank of cross-sectional area 0.5m^(2) is filled with water. It has a small hole at a height 50cm from the bottom. A movable piston of cross-sectional area almost equal to 0.5m^(2) is fitted on the top of the tank such that it can slide in the tank freely. A load of 20 kg is applied on the top of the water by piston, as shown in the figure. Calculate the speed of the water jet with which it hits the surface when piston is 1m above the bottom. (Ignore the mass of the piston)

PHYSICS GALAXY - ASHISH ARORA-FLUID MECHANICS-Unsolved Numerical Problems
  1. Calculate the rate of flow of glycerine of density 1.25 xx 10^(3) kg//...

    Text Solution

    |

  2. An ice cube of edge a is placed in an empty cylindrical vessel of radi...

    Text Solution

    |

  3. A cylindrical tank having cross-sectional area A = 0.5 m^(2) is filled...

    Text Solution

    |

  4. A conical vessel wihout a bottom stands on a table. A liquid is poured...

    Text Solution

    |

  5. Water flows in a horizontal pipe whose one end is closed with a value ...

    Text Solution

    |

  6. A liquid is kept in a cylindrical vessel which is rotated along its ax...

    Text Solution

    |

  7. A cylinder tank of base area A has a small hole of areal a at the bott...

    Text Solution

    |

  8. The figure shows a siphon in action. The liquid flowing through the si...

    Text Solution

    |

  9. A water clock used in ancient Greek is designed as a closed vessel wit...

    Text Solution

    |

  10. A sphere of radius R, made from material of specific gravity SG, is su...

    Text Solution

    |

  11. Two identical container are open at the top and are connected at the b...

    Text Solution

    |

  12. A thin rod of length (L) and area of cross - section (S) is pivoted at...

    Text Solution

    |

  13. Consider a horizontally oriented syringe containing water locate at a ...

    Text Solution

    |

  14. A water pipe with interna diameter of 2m carries water at the floor of...

    Text Solution

    |

  15. Water and oil are poured into the two limbs of a U-tube containig merc...

    Text Solution

    |

  16. Pure water is added drop by drop to a vessel of volume V filled with a...

    Text Solution

    |

  17. Water flows out of a big tank along a tube bent at right angles, the i...

    Text Solution

    |

  18. A cylindrical vessel is filled with water upto a height of 1m. The cro...

    Text Solution

    |

  19. An open reactangular tank with tank with dimensions 5xx4mxx3m contains...

    Text Solution

    |

  20. Two holes, each of area A = 0.2 cm^(2) are drilled in the wall of a ve...

    Text Solution

    |