Home
Class 11
PHYSICS
A metallic wire of diameter d is lying h...

A metallic wire of diameter `d` is lying horizontally o the surface of water. The maximum length of wire so that is may not sink will be

Text Solution

Verified by Experts

`"Weight "=" maximum force of Surface Tension"`
`Mg=T[2l]" "rArr rho(pir^(2))lg=T(2l)`
`r_("max")=sqrt((2T)/(pirho g))" "(rho" is the density of the wire")`
`D_("max")=2r_("max")=sqrt((8T)/(pi rhog)),A_("max")=pir^(2)=(2T)/(rhog)`
In this case surface tension helps for floating.
Note : In the above problem, for a given radius of the wire, whatever may be the length of the wire, it floats on the liquid surface.
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise EVALUATE YOURSELF - 1|2 Videos
  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise EVALUATE YOURSELF - 2|2 Videos
  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise Level 2 (H.W)|39 Videos
  • MATHEMATICAL REVIEW & PHYSICAL WORLD

    NARAYNA|Exercise C.U.Q|13 Videos
  • MECHANICAL PROPERTIES OF SOLIDS

    NARAYNA|Exercise LEVEL-II (H.W)|24 Videos

Similar Questions

Explore conceptually related problems

A metalic wire of diameter d is lying horizontally o the surface of water. The maximum length of wire so that is may not sink will be

A wire of mass 0.3 gm is lying horizontal on the surface of water. The maximum length of wire so that it may not sink, will be (T=70xx10^(-3)N//m)

A wire of mass 1g is kept horizontally on the surface of water. The length of the wire that does not break the surface film is (surface tension of water is 70dynecm^-1 )

A wire of length L metres, made of a material of specific gravity 8 is floating horizontally on the surface of water. If it is not wet by water, the maximum diameter of the wire (in mm) upto which it can continue to float is (surface tension of water is T=70xx10^(-3)Nm^(-1) )

A copper sphere of diameter 18cm is drawn into a wire of diameter 4mm. Find the length of the wire.

A wire of length 10 cm is gently placed horizontally on the surface of water having a surface tension of 75xx10^(-3) N/m . What is the force required to pull up the wire from the surface .

A straight piece of wire 4 cm long is placed horizontally on the surface of water annd is gently pulled up . It is found that a force of 560 dyne in addition to the weight of the wire is required for this purpose . Then surface tension of the water is

If a metalic cube of edge 1 cm is drawn into a wire of diameter 3.5 mm, then find the length of the wire.

NARAYNA-MECHANICAL PROPERTIES OF FLUIDS-Illustration
  1. An annular metal ring of inner radius 7 cm and outer radius 14 cm and ...

    Text Solution

    |

  2. A wire is bent in the form of a U-shape and a slider of negligible mas...

    Text Solution

    |

  3. A metallic wire of diameter d is lying horizontally o the surface of w...

    Text Solution

    |

  4. If the surface tension of soap solution is 35"dynes"//cm, calculate th...

    Text Solution

    |

  5. A soap bubble is blown to a radius of 3 cm. if it is to be further blo...

    Text Solution

    |

  6. A water drop of diameter 2 mm is split up into 10^(9) identical water ...

    Text Solution

    |

  7. 1000 drops of a liquid each of diameter 4 mm coalesce to form a single...

    Text Solution

    |

  8. A large number of liquid drops each of radius 'a' coalesce to form a s...

    Text Solution

    |

  9. A drop of radius R is split under isothermal condition into into n dro...

    Text Solution

    |

  10. Number of droplets (n) are combined isothermally to form a big drop th...

    Text Solution

    |

  11. When a big drop of water is formed from n small drops of water, the en...

    Text Solution

    |

  12. Find the weight of water supported by surface tension in a capillary t...

    Text Solution

    |

  13. A capillary tube of radius r is immersed in water and water rises to a...

    Text Solution

    |

  14. A U-tube is supported with its limbs vertical and is partly filled wit...

    Text Solution

    |

  15. Water rises to a height of 10 cm in capillary tube and mercury falls t...

    Text Solution

    |

  16. A 20 cm long capillary tube is dipped in water. The water rises up to ...

    Text Solution

    |

  17. Two soap bubble of radii R(1) and R(2) are kept in vacuum at constant ...

    Text Solution

    |

  18. Two soap bubble of radii R(1) and R(2) are in atmosphere of pressure P...

    Text Solution

    |

  19. Two soap bubble are combined isothermally to form a big bubble of radi...

    Text Solution

    |

  20. When air bubble comes from bottom to the top of a lake its radius beco...

    Text Solution

    |