Home
Class 12
PHYSICS
A vessel has a small hole at the bottom....

A vessel has a small hole at the bottom. Its radius is 0.4 mm. The height to which water can be put inside the vessel without any leakage (Surface tension = 72 dyne/cm, g = `9.8 m//s^(2)`) will be :

A

3·67 cm

B

0·367 cm

C

0·0367 cm

D

zero.

Text Solution

Verified by Experts

The correct Answer is:
A

Here hpg`=(2T)/r`
`h=(2T)/(rpg)=(2xx72)/(0.4xx10^(-1)xx1xx980)`
h=3·67 cm
Hence the correct choice is (a).
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF MATTER

    MODERN PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (LEVEL-II)|72 Videos
  • PROPERTIES OF MATTER

    MODERN PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (LEVEL-III)|13 Videos
  • OSCILLATIONS

    MODERN PUBLICATION|Exercise RCQ|7 Videos
  • RAY OPTICS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTION|32 Videos

Similar Questions

Explore conceptually related problems

A vessel has a height of 50 cm. What is the maximumn distance at which water can fall from a hole on its side?

Calculate g at the bottom of a mine 8 km deep and at an altitude 32 km above the earth's surface . Radius of earth = 6.4 xx 10^(4) m and g on earth's surface = 9.8 m//s^(2) .

The bob of a simple pendulum of length 1 m has mass 100g and a speed of 1.4 m/ s at the lowest point in its path. Find the tension in the string at this moment. Take g=9.8 m//sec^(2) (AS_(1))

A water tank filed with water has a hole in its wall at a distance of 2.5 m below its free surface. Find the velocity of efflux of water from this office. If the diameter of the orifice is 5 mm, find the rate of flow of water (g =9.8 ms^(-2)).

A vessel is the from of an inverted cone. Its height is 8 cm and the radius of its top, which is open ,is 5 cm. It is filled with water uo to the brim . When lead shots, each of which is a sphere of radius 0.5cm are dropped into the vessel, one - fourth of the water flows. out. find the number of lead shots dropped in the vessel.

MODERN PUBLICATION-PROPERTIES OF MATTER-RECENT COMPETITIVE QUESTIONS
  1. A vessel has a small hole at the bottom. Its radius is 0.4 mm. The hei...

    Text Solution

    |

  2. Which of the following substances has the highest elasticity ?

    Text Solution

    |

  3. Three liquids of equal masses are taken in three identical cubical ves...

    Text Solution

    |

  4. Water is in streamline flow along a horizontal pipe with nonuniform cr...

    Text Solution

    |

  5. The following four wires of length L and radius r are made of the same...

    Text Solution

    |

  6. Eight equal drops of water are falling through air with a steady veloc...

    Text Solution

    |

  7. Two capillary tubes of diffemt diameters are dipped in water. The rise...

    Text Solution

    |

  8. Milk is an example for

    Text Solution

    |

  9. Spheres of iron and lead having same mass are completely immersed in w...

    Text Solution

    |

  10. Two solids P and Q float in water. It is observed that P floats with h...

    Text Solution

    |

  11. A flow of liquid is streamline if the Reynold number is

    Text Solution

    |

  12. In anomalous expansion of water, at what temperature, the density of w...

    Text Solution

    |

  13. The ratio of hydraulic stress to the corresponding strain is known as

    Text Solution

    |

  14. What is heated from 0°C to 10°C, then its volume

    Text Solution

    |

  15. A crane with a steel cable of length 11 m and radius 2.0 cm is employe...

    Text Solution

    |

  16. The dimensions of four wires of the same material are given below. In ...

    Text Solution

    |

  17. Under a constant pressure head, the rate of flow of orderly volume flo...

    Text Solution

    |

  18. The average energy of molecules in a sample of oxygen gas at 300K are ...

    Text Solution

    |