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)|11 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

The paressure at the bottom of a tank containing a liquid does not depend on …..

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 body of uniform cross-sectional area floats in a liquid of density thrice its value. The portion of exposed height will be :

A steel uniform rod of length 2L cross sectional area A and mass Mis set rotating in a horizontal plane about an axis passing through the centre. If Y is the Young's modulus for steel, find the extension in the length of the rod.

A stream of water flowing horizontally with a speed of 15 m s'1 gushes out of a tube of cross-sectional area 10-2 m_(2) and hits a vertical wall nearby. What is the force exerted on the wall by the impact of water assum ing it does not rebound ?

A box of negligible mass containing 2 moles of an ideal gas of molar mass M and adiabatic exponent gamma moves with constant speed v on a smooth horizontal surface. If the box suddenly stops, then change in temperature of gas will be :

A pendulumd made of a uniform wire of cross sectional area (A) has time T.When an additionl mass (M) is added to its bob, the time period changes to T_(M). If the Young's modulus of the material of the wire is (Y) then 1/Y is equal to:

A cylindrical container of radius 'R' and height 'h' is completely filled with a liquid. Two horizontal L -shaped pipes of small cross-sectional area 'a' are connected to the cylinder as shown in the figure. Now the two pipes are opened and fluid starts coming out of the pipes horizontally in opposite directions. Then the torque due to ejected liquid on the system is

A spray gun is shown in the figure where a piston pushes air out of a nozzle. A thin tube of uniform cross section is connected to the nozzle. The other end of the tube is in a small liquid container. As the piston pushes air through the nozzle, the liquid from the container rises into the nozzle and is sprayed out. For the spray gun shown, the radii of the piston and the nozzle are 20mm and 1mm respectively. The upper end of the container is open to the atmosphere. If the piston is pushed at a speed of 5mms^-1 , the air comes out of the nozzle with a speed of