Home
Class 11
PHYSICS
A piston of mass M=3kg and radius R=4cm ...


A piston of mass M=3kg and radius R=4cm has a hole into which a thin pipe of radius r=1 cm is inserted the piston can enter a cylinder tightly and without friction an initially it is at the bottom of the cylinder 750 gm of water is now poured into the pipe so that the piston&pipe and lifted up as shown find the height H of water in the cylinder and height h of water in the pipe.

Text Solution

Verified by Experts

The correct Answer is:
`H=(11)/(32pim),h=(2)/(pi)m`
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN |Exercise Exercise 4 A (Fuild Dynamics)|7 Videos
  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN |Exercise Exercise 4 A (Viscosity)|3 Videos
  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN |Exercise Exercise 4 A (Surface Tension)|5 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 conical vessel with radius 10 cm and height 15 cm is completely filled with water. This water is poured into a cylinder with radius 5 cm. Find the height of water in the cylinder.

A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. find the height of the cylinder.

What is the moment of inertia of a cylinder of radius r, long its height?

The curved surface area of a cylinder is 110 cm^(2) and its diameter is 7 cm. Find the height of the cylinder.

A fixed thermally conducting cylinder has a radius R and height L_0 . The cylinder is open at its bottom and has a small hole at its top. A piston of mass M is held at a distance L from the top surface, as shown in the figure. The atmospheric pressure is P_0 . The piston is taken completely out of the cylinder. The hole at the top is sealed. A water tank is brought below the cylinder and put in a position so that the water surface in the tank is at the same level as the top of the cylinder as shown in the figure. The density of the water is rho . In equilibrium, the height H of the water coulmn in the cylinder satisfies

A cylinder of radius 12 cm contains water to a depth of 20 cm. When a spherical iron ball is dropped in to the cylinder, the level of water is raised by 6.75 cm. Find the radius of the ball. [pi = (22)/(7)]

A cylindrical tank has a hole of 1 cm in its bottom. If the water is allowed to flow into the tank from a tube above it at the rate of 70 cm//sec . then the maximum height up to which water can rise in the tank is

The area of the base of a cylinder is 40 cm^(2) and its height is 10 cm. Find the volume of the cylinder.

If a capillary of radius r is dipped in water the height of water that rises in it is h and its mass is M . If the radius of the capillary is doubled the mass of water that rises in the capillary will be