Home
Class 11
PHYSICS
In the middle of a pond, a large ice bl...

In the middle of a pond, a large ice block of 10 m thickness of floating. Let a vertical hole is drilled in this block. The minimum length (in cm) of a rope required to lift a bucket full of water through the hole is `x xx 10cm?` (Specify gravity of ice =0.91).

Text Solution

AI Generated Solution

To solve the problem, let's break it down step by step: ### Step 1: Understand the Problem We have a large ice block floating in a pond with a thickness of 10 meters. A vertical hole is drilled in this block, and we need to find the minimum length of a rope required to lift a bucket full of water through this hole. ### Step 2: Define Variables - Let \( t \) be the thickness of the ice block, which is given as \( t = 10 \) m. - Let \( y \) be the height of the ice block above the water surface. ...
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF FLUIDS

    MODERN PUBLICATION|Exercise Chapter Practise Test|16 Videos
  • MECHANICAL PROPERTIES OF FLUIDS

    MODERN PUBLICATION|Exercise Competition File (Matching Type Questions )|2 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

A large block of ice 10 cm thick with a vertical hole drilled through it is floating in a lake. The minimum length of the rope required to scoop out a bucket full of water through the hole is (0.2 x)m . Find the value of x . Take density of ice =0.9" g/cm"^(3)

A large block of ice 5 m thick has a vertical hole drilled through it and is floating in the middle of a lake. What is the minimum length of a rope required to scoop up a bucket full of water through the hole? Relative density of ice =0.9 .

A large block of ice 4 m thick has a vertical hole drilled through it and is floating in the middle of water in a lake. The minimum length of rope required to scoop up a bucket full of the through the hole is (density of ice =0.9CGS unit, density of water =1CGS unit)

The thickness of the ice layer on the surface of lake is 20 m. A hole is made in the ice layer. What is the minimum length of the rope required to take a bucket full of water out ? (Take density of ice = 0.9 xx 10^3 kg//m^3)

A large block of ice 10 cm thick with a vertical hole drilled through it is floating in a lake. The minimum of water through the hole is (density of ice =0.9 g cm^(-3))

A large block of ice cuboid of edge length 'l' and density rho_(ice) -0.9 rho_(w) , has a larger vertical hole along its axis. This block is floating in a lake. Find out length of the rope required to raise a bucket of water through the hole.

An ice-cube of edge is 10 cm floating in water. Time period of small vertical oscillations of the cube is: (Specific gravity of ice is 0.9)

Due to cold weather a 1 m water pipe of cross-sectional area 1 cm^2 is filled with ice at - 10^@C . Resistive heating is used to melt the ice. Current of 0.5 A is passed through 4 kOmega resistance. Assuming that all the heat produced is used for melting, what is the minimum time required ? (Given latent heat of fusion for water/ice = 3.33 xx 10^5 J kg^(-1) , specific heat of ice = 2 xx 10^3 J kg^(-1) and density of ice =10^3kg//m^3 )

Due to cold weather a 1 m water pipe of cross-sectional area 1 cm^2 is filled with ice at - 10^@C . Resistive heating is used to melt the ice. Current of 0.5 A is passed through 4 kOmega resistance. Assuming that all the heat produced is used for melting, what is the minimum time required ? (Given latent heat of fusion for water/ice = 3.33 xx 10^5 J kg^(-1) , specific heat of ice = 2 xx 10^3 J kg^(-1) and density of ice =10^3kg//m^3 )