Home
Class 11
PHYSICS
A homogeneous solid cylinder of length L...

A homogeneous solid cylinder of length L(LltH/2), cross-sectional area A/5 is immersed such that it floats with its axis vertical at the liquid-liquid interface with length L/4 in the denser liquid as shown in the figure. The lower density liquid is open to atmosphere having pressure `P_0`. Then density D of solid is given by

A

`(5)/(4)d`

B

`(4)/(5)d`

C

`4d`

D

`(d)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN|Exercise Exercise 3 (Assertion & Reason)|32 Videos

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN|Exercise Exercise 3 (Comprehension based questions)|24 Videos

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN|Exercise Exercise 1 (Fluid Statics)|40 Videos

  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-V B|19 Videos

  • ERROR AND MEASUREMENT

    ALLEN|Exercise Part-2(Exercise-2)(B)|22 Videos

Similar Questions

Explore conceptually related problems

A container of large uniform cross-sectional area A resting on a horizontal surface, holds two immiscible, non-viscous and incompressible liquids of densities d and 2d, each of height H/2 as shown in the figure. The lower density liquid is open to the atmosphere having pressure P_0 . (a) A homogeneous solid cylinder of length L(LltH//2) , cross-sectional area A//5 is immersed such that it floats with its axis vertical at the liquid-liquid interface with length L//4 in the denser liquid. Determine: (i) the density D of the solid and (ii) the total pressure at the bottom of the container. (b) The cylinder is removed and the original arrangement is restored. A tiny hole of area s(slt ltA) is punched on the vertical side of the container at a height h(hltH//2) . Determine: (i) the initial speed of efflux of the liquid at the hole, (ii) the horizontal distance x travelled by the liquid initially, and (iii) the height h_m at which the hole should be punched so that the liquid travels the maximum distance x_m initially. Also calculate x_m .

A container of large uniform cross-sectional area A resting on a horizontal surface, holes two immiscible, non-viscon and incompressible liquids of densities d and 2d each of height H//2 as shown in the figure. The lower density liquid is open to the atmosphere having pressure P_(0) . A homogeneous solid cylinder of length L(LltH//2) and cross-sectional area A//5 is immeresed such that it floats with its axis vertical at the liquid-liquid interface with length L//4 in the denser liquid, The cylinder is then removed and the original arrangement is restroed. a tiny hole of area s(sltltA) is punched on the vertical side of the container at a height h(hltH//2) . As a result of this, liquid starts flowing out of the hole with a range x on the horizontal surface. The density D of the material of the floation cylinder is

A container of large uniform cross-sectional area A resting on a horizontal surface, holes two immiscible, non-viscon and incompressible liquids of densities d and 2d each of height H//2 as shown in the figure. The lower density liquid is open to the atmosphere having pressure P_(0) . A homogeneous solid cylinder of length L(LltH//2) and cross-sectional area A//5 is immeresed such that it floats with its axis vertical at the liquid-liquid interface with length L//4 in the denser liquid, The cylinder is then removed and the original arrangement is restroed. a tiny hole of area s(sltltA) is punched on the vertical side of the container at a height h(hltH//2) . As a result of this, liquid starts flowing out of the hole with a range x on the horizontal surface. The total pressure with cylinder, at the bottom of the container is

A container of large uniform cross-sectional area A resting on a horizontal surface, holes two immiscible, non-viscon and incompressible liquids of densities d and 2d each of height H//2 as shown in the figure. The lower density liquid is open to the atmosphere having pressure P_(0) . A homogeneous solid cylinder of length L(LltH//2) and cross-sectional area A//5 is immeresed such that it floats with its axis vertical at the liquid-liquid interface with length L//4 in the denser liquid, The cylinder is then removed and the original arrangement is restroed. a tiny hole of area s(sltltA) is punched on the vertical side of the container at a height h(hltH//2) . As a result of this, liquid starts flowing out of the hole with a range x on the horizontal surface. The initial speed of efflux without cylinder is

A container of large uniform cross-sectional area A resting on a horizontal surface, holes two immiscible, non-viscon and incompressible liquids of densities d and 2d each of height H//2 as shown in the figure. The lower density liquid is open to the atmosphere having pressure P_(0) . A homogeneous solid cylinder of length L(LltH//2) and cross-sectional area A//5 is immeresed such that it floats with its axis vertical at the liquid-liquid interface with length L//4 in the denser liquid, The cylinder is then removed and the original arrangement is restroed. a tiny hole of area s(sltltA) is punched on the vertical side of the container at a height h(hltH//2) . As a result of this, liquid starts flowing out of the hole with a range x on the horizontal surface. The initial value of x is

A container of a large uniform cross-sectional area A resting on a horizontal surface holds two immiscible, non viscous and incompressible liquids of densities d and 2d , each of height H//2 as shown in figure. The lower density liquid is open to atmosphere. A homogeneous solid cylinder of length L(L lt (H)/(2)) , cross-sectional area A//5 is immersed such that it floats with its axis vertical of the liquid-liquid interface with length L//4 denser liquid. Determine (a) density D of the solid and (b) the total pressure at the bottom of the container. (Atmospheric pressure = P_0 ). .

Fluids at rest exert a normal force to the walls of the container or to the sruface of the body immersed in the fluid. The pressure exerted by this force at a point inside the liqid is the sum of atmospheric pressure and a factor which depends on the density of the liquid, the acceleration due to gravity and the height of the liquid, above that point. The upthrust acting on a body immersed in a stationary liquid is the net force acting on the body in the upward direction. A number of phenomenon of liquids in motion can be explain by Bernoulli's theorem which relates the pressure, flow speed and height for flow of an ideal incompressible fluid. A container of large uniform corss sectional area. A resting on a horizontal surface holds two immiscible, non viscous and incompressile liquids of densities d and 2d , each of height H//2 as shown in the figure. The lower density liquid is open to the atmosphere having pressure P_(0) . Situation I: A homogeneous solid cylinder of length L(LltH//2) . cross sectional area A//5 is immersed such that it floats with its axis vertical at liquid -liquid interface with lenght L//4 in the denser liquid. The total pressure at the bottom of the container is

ALLEN-ELASTICITY, SURFACE TENSION AND FLUID MECHANICS-Exercise 2 (One or more than one correct answer)
  1. Water coming out of the mouth of a tap and falling vertically in strea...

    Text Solution

    |

  2. There are two identical small holes on the opposite sides of a tank co...

    Text Solution

    |

  3. A U-tube of uniform cross section (see figure) is partially filled wit...

    Text Solution

    |

  4. A homogeneous solid cylinder of length L(LltH/2), cross-sectional area...

    Text Solution

    |

  5. A mercury manometer is connected as shown in the figure. The differenc...

    Text Solution

    |

  6. An open pan P filled with water of density (rhow) is placed on a verti...

    Text Solution

    |

  7. A small ball is left in a viscous liquid form very much height correct...

    Text Solution

    |

  8. A cubical block of side a and density rho slides over a fixed inclined...

    Text Solution

    |

  9. A space 2.5cm wide between two large plane surfaces is filled with oil...

    Text Solution

    |

  10. A large drop of oil whose density is less than that of water, floats ...

    Text Solution

    |

  11. If the terminal speed of a sphere of gold (density =19.5kg//m^3) is 0....

    Text Solution

    |

  12. A spherical ball is dropped in a long column of viscous liquid. Which ...

    Text Solution

    |

  13. A small sphere of mass m is dropped from a aheight After it has fallen...

    Text Solution

    |

  14. The wires A and B shown in Fig. are made of the same material and have...

    Text Solution

    |

  15. When a capillary tube is dipped in a liquid, the liquid rises to a hei...

    Text Solution

    |

  16. A massless conical flask filled with a liquid is kepth on t a table in...

    Text Solution

    |

  17. The vessel shown in the figure has a two sections of areas of cross-se...

    Text Solution

    |

  18. A liquid flows through a horizontal tube. The velocities of the liquid...

    Text Solution

    |

  19. A vertical U-tube contains a liquid. The total length of the liquid co...

    Text Solution

    |

  20. A cup filled with water has a hole in the side, through which the liqu...

    Text Solution

    |