Home
Class 11
PHYSICS
Radius of a glass capillary is 0.5 mm . ...

Radius of a glass capillary is 0.5 mm . Find the height of the column of water when it is held vertical in water . The density of water is `10^(3)kg`
`m^(-3)` and the the angle of contact between glass and water is `0^(@),g=9.8ms^(-2)` and the surface tension of water `T=0.0727Nm^(-1)`.

Text Solution

Verified by Experts

`r=0.5mm=5xx10^(-4)m`
`rho=10^(3)kgm^(-3)`
`theta=0 " " thereforecos0^(@)=1`
`g=9.8ms^(-2)`
`T=0.0727Nm^(-1)`
`T=(rhrhog)/(2costheta)`
`thereforeh=(2Tcostheta)/(rrhog)`
`=(2xx0.0727xx1)/(5xx10^(-4)xx10^(3)xx9.8)`
`thereforeh=0.0296m`
`thereforeh=2.96cm`
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF FLUIDS

    KUMAR PRAKASHAN|Exercise SECTION -C (Objective Questions) (VSQs)|100 Videos
  • MECHANICAL PROPERTIES OF FLUIDS

    KUMAR PRAKASHAN|Exercise SECTION -C (Objective Questions) (VSQs) Fill in the Blank|9 Videos
  • MECHANICAL PROPERTIES OF FLUIDS

    KUMAR PRAKASHAN|Exercise SECTION - B Numerical From Textual Exercise|44 Videos
  • MACHANICAL PROPERTIES OF SOLIDS

    KUMAR PRAKASHAN|Exercise QUESTION PAPER|11 Videos
  • MOTION IN A STRAIGHT LINE

    KUMAR PRAKASHAN|Exercise QUESTION PAPER|11 Videos

Similar Questions

Explore conceptually related problems

Calculate the height to which water will rise in a capillary tube of diameter 1xx10^(-3) m [given surface tension of water is 0.072Nm^(-1) angle of contact is 0^(@),g=9.8ms^(-2) and density of water =1000kgm^(-3) ]

Two vertical glass plates 1 mm apart are dipped into water. How high will the water rise between the plates. If the surface tension of water is 70 dyne cm^(-1)

Water rises to a height of 10 cm in a capillary tube and mercury falls to a depth of 3.42 cm in the same capillary tube. If the density of mercury is 13.6 g//c.c. and the angles of contact for mercury and for water are 135^@ and 0^@ , respectively, the ratio of surface tension for water and mercury is

What is the density of water at a depth where pressure is 80.0 atm, given that its density at the surface is 1.03xx103" kg m"^(-3) ?

A bubble of air of diameter 0.2 cm rises up uniformly in water with a velocity of 200cm//s . If the density of water is 1gcm^(-3) , find coefficient of viscosity of water. Neglect density of air w.r.t that of water. (g=9.8m//s^(2))

KUMAR PRAKASHAN-MECHANICAL PROPERTIES OF FLUIDS -SECTION - B Numerical From DARPAN Based On Textbook
  1. It is known that density rho of air decreases with height y as -y/...

    Text Solution

    |

  2. As shown in the figure two cylindrical vessels A and B are interconne...

    Text Solution

    |

  3. As shown in figure lower portion of the manometer tube contains fluid ...

    Text Solution

    |

  4. The diameter of one end of a tube is 2 cm and that of another end is 3...

    Text Solution

    |

  5. Water is filled in a container upto height H as shown in the figure . ...

    Text Solution

    |

  6. The velocities of cylindrical layers of liquid flowing through a tube ...

    Text Solution

    |

  7. Two rain drops of equal volume , falling with terminal velocity 10cms^...

    Text Solution

    |

  8. The radius of a pipe decreases according to r=r(o)e^(-propx) , where a...

    Text Solution

    |

  9. Find the pressure in a bubble of radius 0.2 cm formed at the depth of ...

    Text Solution

    |

  10. Radius of a glass capillary is 0.5 mm . Find the height of the column ...

    Text Solution

    |

  11. The piston and nozzle of a syringe kept horizontal have diameters 5 mm...

    Text Solution

    |

  12. Water is flowing through a horizontal pipe of irregular cross section ...

    Text Solution

    |

  13. Find the work required to be done to increase the volume of a bubble ...

    Text Solution

    |

  14. Diameters of the arms of a U tube are 10 mm and 1 mm . It is partially...

    Text Solution

    |

  15. A bubble of air of diameter 0.2 cm rises up uniformly in water with a ...

    Text Solution

    |

  16. The velocity of a cylindrical layer of liquid at a distance 0.4 cm fro...

    Text Solution

    |

  17. What should be the difference in pressure across the ends of a 4 km l...

    Text Solution

    |