Home
Class 11
PHYSICS
The water level on a tank is 5m high. Th...

The water level on a tank is 5m high. There is a hole of `1 cm^(2)` cross-section at the bottom of the tank. Find the initial rate with which water will leak through the hole. (`g= 10ms^(-2)`)

A

`10^(-3)m^(3)//s`

B

`10^(-4)m^(3)//s`

C

`10m^(3)//s`

D

`10^(-2)m^(3)//s`

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 2 (One or more than one correct answer)|53 Videos
  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN |Exercise Exercise 3 (Assertion & Reason)|32 Videos
  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN |Exercise Exercise 1 (Surface Tension)|21 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

Water is filled in a cylindrical container to a height of 3m . The ratio of the cross-sectional area of the orifice and the beaker is 0.1 . The square of the speed of the liquid coming out from the orifice is (g=10m//s^(2)) .

A cylinderical tank 1 m in radius rests on a plaform 5 m high. Initially the tank is filled with upto a height of 5m a plug whose area is 10^(-4)cm^(2) is removed from an orifice on the side of the tank at the bottom. Calculate (a). Initial speed with which the water flows from the orifice (b). Initial speed with which the water strikes the ground.

An overhead water tanker is in the shape of a cylinder has capacity of 61.6 m^3 . The diameter of the tank is 5.6 m . Find the height of the tank.

The density of the atmosphere ats ea level is 1.31kg//m^(3) . Assume that it does not change with altitude . The how high would the atmosphere extend ? (g=10ms^(-2))

An object of mass 120g is taken upward at the height 5 m, then ………….. Joule work is done. (g=10ms^(-2))

Height of a tank in the form of an inverted cone is 10 m and radius of its circular base is 2 m. The tank contains water and it is leaking through a hole at its vertex at the rate of 0.02m^(3)//s. Find the rate at which the water level changes and the rate at which the radius of water surface changes when height of water level is 5 m.

A 3.6m long vertical pipe resonates with a source of frequency 212.5 Hz when water level is at certain height in the pipe. Find the height of water level (from the bottom of the pipe) at which resonance occurs. Neglect end correction. Now , the pipe is filled to a height H (~~ 3.6m) . A small hole is drilled very close to its bottom and water is allowed to leak. Obtain an expression for the rate of fall of water level in the pipe as a function of H . If the radii of the pipe and the hole are 2 xx 10^(-2)m and 1 xx 10^(-3)m respectively, Calculate the time interval between the occurance of first two resonances. Speed of sound in air 340m//s and g = 10m//s^(2) .

Water contained in a tank flows through an orifice of a diameter 2 cm under a constant pressure difference of 10 cm of water column. The rate of flow of water through the orifice is

Consider a water jar of radius R that has water filled up to height H and is kept on a stand of height h (see figure) through a hole of radius r(rltltR) at its bottom the water leaks out and the stream of water coming down towards the gound has a shape like a funnel as shown in the figure. it the radius of teh cross-section of water stream when it hits the ground is x. then.

ALLEN -ELASTICITY, SURFACE TENSION AND FLUID MECHANICS-Exercise 1 (Fluid Statics)
  1. A boat carrying a large number of stones is floating in a water tank. ...

    Text Solution

    |

  2. An object of weight W has a uniform rectangular cross section of a x2a...

    Text Solution

    |

  3. Streamline motion is that motion in which there is-

    Text Solution

    |

  4. An aeroplane of mass 3xx10^(4)kg and total wing area of 120 m^(2) is i...

    Text Solution

    |

  5. One end of a horizontal pipe is closed with the help of a velve and th...

    Text Solution

    |

  6. A man can swim with a speed of 4.0 km/h in still water . How long doe...

    Text Solution

    |

  7. A U-tube of small and uniform cross section contains water of total le...

    Text Solution

    |

  8. 16cm^(3) of water flows per second through a capillary tube of radius ...

    Text Solution

    |

  9. The water level on a tank is 5m high. There is a hole of 1 cm^(2) cro...

    Text Solution

    |

  10. In the following fig., the flow of liquid through a horizontal pipe is...

    Text Solution

    |

  11. The diagram (figure) shows a venturimeter, through which water is flow...

    Text Solution

    |

  12. Water contained in a tank flows through an orifice of a diameter 2 cm ...

    Text Solution

    |

  13. More viscous oil is used in summer than in winterr in motors due to

    Text Solution

    |

  14. With increase in temperature the viscosity of

    Text Solution

    |

  15. A rain drop of radius 0.3 mm has a terminal velocity in air 1m/s. the ...

    Text Solution

    |

  16. Two liquids of densities d(1) and d(2) are flowing in identical capill...

    Text Solution

    |

  17. The velocity of falling rain drop attain limited value bacause of

    Text Solution

    |

  18. The rate of flow of liquid through a capillary tube in an experiment t...

    Text Solution

    |

  19. A copper ball of radius r travels with a uniform speed v in a viscous ...

    Text Solution

    |

  20. Two drops of the same radius are falling through air with a steady vel...

    Text Solution

    |