Home
Class 11
PHYSICS
F and are the forces exerted by the liqu...

F and are the forces exerted by the liquid on the curved surface and at the bottom of a cylindrical vessel (radius r) respectively. To which height should the vessel be filled to make F and f equal?

Text Solution

AI Generated Solution

To solve the problem of determining the height \( h \) to which a cylindrical vessel should be filled so that the force \( F \) exerted by the liquid on the curved surface equals the force \( f \) exerted at the bottom, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Forces**: - The force \( f \) at the bottom of the cylindrical vessel is due to the pressure exerted by the liquid column above it. - The force \( F \) on the curved surface of the cylinder is due to the varying pressure at different depths. ...
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF FLUIDS

    MODERN PUBLICATION|Exercise Revision Exercise (Very Short Answer Questions)|54 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    MODERN PUBLICATION|Exercise Revision Exercise (Additional Questions)|3 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    MODERN PUBLICATION|Exercise NCERT (Short Answer Type Questions)|5 Videos

  • MATHEMATICAL TOOLS

    MODERN PUBLICATION|Exercise PRACTICE PROBLEMS (10)|12 Videos

  • MOTION IN A PLANE

    MODERN PUBLICATION|Exercise Chapter Practice Test|15 Videos

Similar Questions

Explore conceptually related problems

Water pours out rate of Q from a tap, into a cylindrical vessel of radius r. The rate at which the height of water level rises the height is h, is

A cylindrical vessel of radius r is filled with a homogeneous liquid upto a height h. It is found that the force exerted by the liquid column on the bottom of the cylinder is equal to the force exerted by the liquid on the sides of the cylinder. What is the relation between r and h?

The force F needed to support the liquid of density rho and the vessel on it, in figure, is

In the following figure shown, a liquid is filled into the vessel up to a height h and the forces exerted against the liquid by the walls of the vessel are shown by arrows, the force being everywhere perpendicular to the walls of the vessel. For this situation mark out the correct statement(s).

If water is ejecting from a hole of radius r at a depth h from the water surface in cylindrical vessel of diameter D, then speed with which the water level in the vessel drops .(Consider area of hole is comparable to area of vessel)

Two vessels A and B of different shapes have the same base area and are filled with water up to the same height h (see figure). The force exerted by water on the base is F_(A) for vessel A and F_(B) for vessel B . The respective weights of the water filled in vessels are W_(A) and W_(B) . Then

A person looking through a telescope focuses the lens at a point on the edge of the bottom of an empty cylindrical vessel Next he fills the entire vessel with a liquid of refractive index mu , without disturbing the telescope. Now, he observes the midpoint of the bottom of the vessel Determine the radius to depth ratio of the vessel

Some liquid is filled in a cylindrical vessel of radius R. Let F_(1) be the force applied by the liquid on the bottom of the cylinder. Now the same liquid is poured into a vessel of uniform square cross-section of side R. Let F_(2) be the force applied by the liquid on the bottom of this new vessel. (Neglect atmosphere pressure). Then