Home
Class 11
PHYSICS
The vessel shown in the figure has a two...

The vessel shown in the figure has a two sections of areas of cross-section `A_1` and `A_2`. A liquid of density `rho` fills both th sections, up to a height `h` in each Neglect atmospheric pressure. Choose the wrong option.
.

A

The pressure at the base of the vessel is `2hrhog`

B

The force exerted by the liquid on the base of the vessel is `2hrhogA_(2)`

C

The weight of the liquid is `lt2hrhogA_(2)`

D

The walls of the vessel at the level X exert a downward force `hrhog(A_(2)-A_(1))` on the liquid.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
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)|23 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 liquid flows through a horizontal tube. The velocities of the liquid in the two sections, which have areas of cross section A_(1) and A_(2) are v_(1) and v_(2) respectively. The difference in the levels of the liquid in the two vertical tubes is h . Then

A spray gun is shown in the figure where a piston pushes air out of a nozzle. A thin tube of uniform cross section is connected to the nozzle. The other end of the tube is in a small liquid container. As the piston pushes air through the nozzle, the liquid from the container rises into the nozzle and is sprayed out. For the spray gun shown, the radii of the piston and the nozzle are 20mm and 1mm respectively. The upper end of the container is open to the atmosphere. If the density of air is rho_a , and that of the liquid rho_l , then for a given piston speed the rate (volume per unit time) at which the liquid is sprayed will be proportional to

A spray gun is shown in the figure where a piston pushes air out of a nozzle. A thin tube of uniform cross section is connected to the nozzle. The other end of the tube is in a small liquid container. As the piston pushes air through the nozzle, the liquid from the container rises into the nozzle and is sprayed out. For the spray gun shown, the radii of the piston and the nozzle are 20mm and 1mm respectively. The upper end of the container is open to the atmosphere. If the piston is pushed at a speed of 5mms^-1 , the air comes out of the nozzle with a speed of

The U-tube shown has uniform cross-section A liquid is filled in the two arms up to height h_(1) and h_(2) and then the liquid is allowed to move neglect viscosity and surface tension. When the levels equalize in the two arms, the liquid will

Water is filled up to a height h in a beaker of radius R as shown in the figure. The density of water is rho, the surface tension of water is T and the atmospheric pressure is P_0. Consider a vertical section ABCD of the water column through a diameter of the beaker. The force on water on one side of this section by water on the other side of this section has magnitude

Two identical cylindrical vessels with their bases at the same level each, contain a liquid of density rho . The area of either base is A but in one vessel the liquid heigth is h_(1) and in the other liquid height is h_(2)(h_(2)lth_(1)) . If the two vessel are connected, the work done by gravity in equalizing the level is

A diatomic gas is enclosed in a vessel fitted with massless movable piston. Area of cross section of vessel is 1m^2 . Initial height of the piston is 1m (see the figure). The initial temperature of the gas is 300K. The temperature of the gas is increased to 400K, keeping pressure constant, calculate the new height of the piston. The piston is brought to its initial position with no heat exchange. Calculate the final temperature of the gas. You can leave answer in fraction.

A vessel contains two immiscible liquids of density rho_(1)=1000 kg//m^(3) and rho_(2)=1500kg//m^(3) . A solid block of volume V=10^(3)m^(3) and density d=800kg//m^(3) is tied to one end of a string and the outer end is tied to the bottom of the vessel as shown in figure. The block is immersed with two fifths of its volume in the liquid of lower density. The entire system is kept in an elevator which is moving upwards with an acceleration of a=g/2 . Find the tension in the string.

The arms of a U shaped tube are vertical. The arm on right side is closed and other arm is closed by light movable piston. There is mercury in the tube and initially the level of the mercury in the arms is the same. Above the mercury, there is an air column of height h in each arm, and initial pressure is the same as atmospheric pressure in both arms. Now pistion is slowly pushed down by a distance of h//2 (see figure) Let x is the displacement of mercury level in one of the stem and P_(1) is pressure in left column of air after compression, P_(2) is pressure in right column of air after compression and P_(0) is atmospheric pressure then

The bar shown in the figure is made of a single piece of material. It is fixed at one end and consists of two segments of equal length (L)/(2) but different cross-section area A and 2A. What is the change in length of the system under the action of an axial force F. [ consider the shape of joint to remain circular, Y is young's modulus] ltimg src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/ALN_RACE_R64_E01_004_Q01.png" width="80%"gt

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

    |