Home
Class 12
PHYSICS
Two vertical plates submerged partially ...

Two vertical plates submerged partially in a wetting liquid form a wedge with a very small angle `delta varphi`. The edge of this wedge is vertical. The density of the liquid is `rho`, its surface tension is `alpha`, the contact angle is `theta`. Find the height `h`, to which the liquid rises, as a function of the distance `x` from the edge.

A

`(2T)/(rho gx(deltatheta))`

B

`(2T)/(rho gx)`

C

`(2T(deltatheta))/(rho gx)`

D

`(T)/(rho gx(deltatheta))`

Text Solution

Verified by Experts

From force equilibrium `2T(dx)=rho x(delta theta)dx h.g`
Promotional Banner

Topper's Solved these Questions

  • GMP ASSESMENT

    FIITJEE|Exercise Assertion & Reason|15 Videos
  • GMP ASSESMENT

    FIITJEE|Exercise Multiple Question|58 Videos
  • GMP ASSESMENT

    FIITJEE|Exercise Numerical Based|61 Videos
  • GENERAL PHYSICS

    FIITJEE|Exercise MATRIX MATCH TYPE|3 Videos
  • GRAVITATION

    FIITJEE|Exercise Numerical based Question|2 Videos

Similar Questions

Explore conceptually related problems

When a vertical capillary of length with the sealed upper end was brought in contact with the surface of a liquid, the level of this liquid rose to the height h . The liquid density is rho , the inside diameter the capillary is d , the contact angle is theta , the atmospheric pressure is rho_(0) . Find the surface tension of the liquid. (Temperature this process remains constant.)

A liquid of density rho and surface tension S rises to a height h in a capillary tube of diameter D. what is the weight of the liquid in the capillary tube? Angle of contact is 0^(@) .

A cappillary tube of radiue r is lowered into water whose surface tension is alpha and density d . The liquid rises to a height. Assume that the contact angle is zero. Choose the correct statement (s):

Two parallel glass plates separated by a small distance x ar dipped partly in a liquid of density ' d keeping them vertical .The surface tension of the liquid is T and angle of contact is theta . What is the rise of the liquid between the plates due to capillarity ?

Two parallel glass plates are dipped partly in the liquid of denstiy 'd' keeping them vertical. If the distance between the plates is 'x', Surface tension is T and angle of contact is theta then ries of liquid between the plates due to capillary will be

A liquid is coming out from a vertical tube. The relation between the weight of the drop W , surface tension of the liquid T and radius of the tube r is given by, if the angle of contact is zero

A tank, which is open at the top, contains a liquid up to a height H. A small hole is made in the side of the tank at a distance y below the liquid surface. The liquid emerging from the hole lands at a distance x from the tank :

Find value of surface tension if contact angle is 0 and after lowering tube height of liquid is 15 cm and radius is 0.015 cm (density = 900 kg/ (m^3) ) (g = 10 m/ (s^2)

A capillary tube with inner cross-section in the form of a square of side a is dipped vertically in a liquid of density rho and surface tension rho which wet the surface of capillary tube with angle of contact theta . The approximate height to which liquid will be raised in the tube is : (Neglect the effect of surface tension at the corners of capillary tube)

Two parallel glass plates are dipped partly in the liquid of density d keeping them vertical. If the distance between the plates is x surface tension for the liquid is T and angle of contact theta , then rise of liquid between the plates due to capillary will be

FIITJEE-GMP ASSESMENT-Objective problems
  1. A cubical frame is made of 12 rods each of mass m and length l. The mo...

    Text Solution

    |

  2. Two thin roads are moving perpendicularly as shown in the figure. If t...

    Text Solution

    |

  3. Two vertical plates submerged partially in a wetting liquid form a wed...

    Text Solution

    |

  4. Rank the value of ointvec(B)vec(dl) for the closed paths shown in figu...

    Text Solution

    |

  5. Two coherent sources S(1) and S(2) are kept on the edges of a step as ...

    Text Solution

    |

  6. There are two identical square metallic plates kept on a rough horizon...

    Text Solution

    |

  7. Intensity due to line source S(1) at a distance of r is I(0) and inten...

    Text Solution

    |

  8. A ring of radius R having total charge Q uniformly distributed over th...

    Text Solution

    |

  9. Two dipoles vecP(1) and vecP(2) are oriented as shown in the figure. A...

    Text Solution

    |

  10. What amount of heat will be generated in a coil resistance R due to a ...

    Text Solution

    |

  11. A certain amount of ice is supplied heat at a constant rate for 7 minu...

    Text Solution

    |

  12. The displacement of two identical particles executing SHM are represen...

    Text Solution

    |

  13. A gas, for which gamma is (4)/(3) is heated at constant pressure. The ...

    Text Solution

    |

  14. Two sound sources shown in the figure vibrate in phase. By moving S(1)...

    Text Solution

    |

  15. A block of mass m is attached to a spring of force constant k whose ot...

    Text Solution

    |

  16. The gas inside a spherical bubble expands uniformly and slowly so that...

    Text Solution

    |

  17. A thick rope of length 2L and linear mass density 9mu is joined at B t...

    Text Solution

    |

  18. In the figure shown surfaces are smooth and blocks A and B have same m...

    Text Solution

    |

  19. If the radius and surface tension of a spherical soap bubble be r and ...

    Text Solution

    |

  20. Charge Q is uniformly distributed on the rim of a thin insulating disc...

    Text Solution

    |