Home
Class 11
PHYSICS
A large open top container of negligible...

A large open top container of negligible mass and uniform cross sectional area `A` a has a small hole of cross sectional area `A//100` in its side wall near the bottom. The container is kept on a smooth horizontal floor and contains a liquid of density `rho` and mass `M_(0)`. Assuming that the liquid starts flowing out horizontally through the hole at `t=0`, calculate a the acceleration of the container and b its velocity when `75%` of the liquid has drained out.

Text Solution

Verified by Experts

The correct Answer is:
(i). 0.2`m//s^(2)`
(ii). `sqrt(2g(m_(0))/(Arho))`
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN|Exercise Exercise 4 A (Viscosity)|3 Videos

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN|Exercise Exercise 4 B (Bran storming Subjective Exercise)|15 Videos

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN|Exercise Exercise 4 A (Fluid Statics)|13 Videos

  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-V B|19 Videos

  • ERROR AND MEASUREMENT

    ALLEN|Exercise Part-2(Exercise-2)(B)|22 Videos

Similar Questions

Explore conceptually related problems

A large open top container of negligible mass and uniform cross-sectional area A has a small hole of croos-sectional area (A)/(100) in its side wall near the bottom.The container is kept on a smooth horizontal floor and contains a liquid of density rho and mass m_(0) . Assuming that the liquid starts flowing out horizontally through the hole at t = 0 , The acceleration of the container is (x)/(10) m//s^(2) than x is -

A large open top container of negligible mass and uniform ross sectional area A has a small uniform cross sectional area a in its side wall near the bottom. The container is kept over a smooth horizontal floor and contains a liquid of density rho and mass m_(0) . Assuming that the liqudi starts flowing through the hole A the acceleration of the container will be

A large container (with open top) of negligible mass and uniform cross-sectional area A has a small hole of cross-sectional area a in its side wall near the bottom. The container contains a liquid of density rho and mass m. If the liquid starts flowing out of the hole at time t = 0, the velocity of efflux of the liquid when 75% of the liquid has drained out is:

There are two holes, each of cross-sectional area a, on the oppisite side of a wide rectangular tank containing a liquid of density rho . When the liquid flows out of the holes the net force on the tank is [ h is the vertical distance between the two holes].

A cylindrical massless container of cross sectional area A have a fluid filled up to height h and have a small orifice of area a in wall near its bottom. Find minimum coefficient between container and ground so that container does not move

A liquid is flowing through a pipe of non-uniform cross-section. At a point where area of cross-section of the pipe is less, match the following columns.

A fixed container of height H with large cross-sectional area A is completely filled with water. Two small orifice of cross-sectional area a are made, one at the bottom and the other on the vertical side of the container at a distance H/2 from the top of the container find the time taken by the water level to reach a height of H/2 from the bottom of the container.

A container of cross-section area A resting on a horizontal surface, holds two immiscible and incompressible liquid of densities rho and 2 rho as shown in figure. The lower density liquid is open to the atmosphere having pressure P_(0) . The pressure at the bottom of the container is