Home
Class 12
PHYSICS
If the pin hole in the container is very...

If the pin hole in the container is very small compared to the area of the base of container and a block floats in the ideal liquid then, the speed of efflux is

A

less than `sqrt(2gh)`

B

greater than `sqrt(2gh)`

C

equal to `sqrt(2gh)`

D

equal to `sqrt(2gH)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

A solid sphere of radius R made of a material of bulk modulus B is surrounded by a liquid in a cylindrical container. A massless piston of area A (the area of container is also A ) floats on the surface of the liquid. When a mass M is placed on the piston to compress the liquid , fractional change in radius of the sphere is (Mg)/(alpha AB) . Find the value of alpha .

A solid cube floats in a liquid of density rho with half of its volume submerged as shown. The side length of the cube is a, which is very small compared to the size of the container. Now a liquid of density (rho)/(3) (immiscible with the liquid already in the container) is poured slowly into the container. The column of the liquid of density (rho)/(3) that must be poured so that the cube is fully submerged (with its top surface coincident with the surface of the poured liquid) is :

A liquid is filled in a container to a height H. A small hole is opened in the side of the container a height h below the surface of the liquid. The distance L from the bottom of the container of the point where the stream of liquid leaving the container meets the ground is :

A container of large uniform cross sectional area A , resting on horizontal surface, holds two immiscible non viscous and incompressible liquids of density d and 2d , each of height H/2 as shown in the figure. The lower density liquid is open to the atmosphere having pressure P_(0) . A tiny hole of area (s(sltltA) is punched on the vertical side of the container at a height h(hltH/2) . Determine the initial speed of efflux of the liquid at the hole

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 connected with 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 20 mm and 1 mm respectively. The upper end of the container is open to the atmosphere. If the piston is pushed at a speed of 5 mm s ^(-1) the air comes out of the nozzle with a speed of :

Water is filled to a height of 2.5 m in a container lying rest on a horizontal surface as shown in the figure. The bottom of the container is square shaped of side sqrt(3) and its top is open. There is a very small hole in the vertical wall of the container near the bottom. A small cap closes the hole. The hole gets opened when pressure near the bottom becomes more than 4 xx 10^(4) pascal a, What minimum acceleration can be given to the container in the positive x -direction so that the cap will come out of the hole? Assume water does not spill out of container when the container accelerates. Find the velocity of efflux as soon as the container starts moving with the acceleration calculated in part a. of the question.

Two containers A and B have the same volume. Container A contains 5 moles of O_(2) gas. Container B contains 3 moles of He and 2 moles of N_(2) . Both the containers are separately kept in vacuum at the same temperature. Both the containers have very small orifices of the same area through which the gases leak out. Compare the rate of effusion of O_(2) with that of He gas mixture.

The system shown in figure is in equilibrium . The mass of the container with Liquid is M, density of liquid in the container is rho and the volume of the block is V. If the container is now displaced downwards through a distance x_(0) and released such that the block remains well inside the liquid then during subsequent motion

There is a small hole near the botton of an open tank filled with liquid. The speed of the water ejected does not depend on

A hollow cylindrical container floats in water with half its length immersed. A liquid of specific gravity sigma is slowly poured into the container until the levels of the liquid inside the container and of water outside are the same. It is observed that the container is submerged to two-thirds its length. Then the value of sigma is