A large block of ice 5 m thick has a ver...

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`.

`5.5m`

`4.5m`

`0.5m`

Text Solution

Verified by Experts

The correct Answer is:

Weight of ice black = wight liquid displaced
`A xx 5 xx 0.9 xx g=5 (5-h) xx A xx 1xx g h = 0.5m`

Topper's Solved these Questions

MECHANICAL PROPERTIES OF FLUIDS
DISHA PUBLICATION|Exercise EXERCISE-2 CONCEPT APPLICATOR|24 Videos
MECHANICAL PROPERTIES OF FLUIDS
DISHA PUBLICATION|Exercise EXERCISE-2 CONCEPT APPLICATOR|24 Videos
MAGNETISM AND MATTER
DISHA PUBLICATION|Exercise EXERCISE-2:CONCEPT APPLICATOR|31 Videos
MOTION IN A PLANE
DISHA PUBLICATION|Exercise Exercise -2 : CONCEPT APPLICATOR|28 Videos

Similar Questions

Explore conceptually related problems

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)

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 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))

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).

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 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.

A very large block of ice of the size of a volleyball court and of uniform thickness of 8m is floating on water. A person standing near its edge wishes to fetch a bucketful of water using a rope. The smallest length of rope required for this is about

A cubical block of ice floating in water has to suport metal piece weighing 0.5 kg. What can be the minimum edge of the block so that it does not sink in water/ specific gravity of ice=0.9.

A bucket full of water is tied at the end of rope of length 1.6 m. It is rotated in vertical circle with constant speed around the other end . What should be the minimum speed of bucket so that water does not spill out at the highest position of the water circle?

DISHA PUBLICATION-MECHANICAL PROPERTIES OF FLUIDS -EXERCISE-1 CONCEPT BUILDER

A wooden block, with a coin placed on its top, floats in water as show...
Text Solution
|
The density rho of water of buk modulus B at a depth y then ocean i...
Text Solution
|
A large block of ice 5 m thick has a vertical hole drilled through it ...
Text Solution
|
A sphere of solid material of specific gravity 8 has a concentric sphe...
Text Solution
|
A metallic sphere weighs 210g in air, 180 g in water and 120 g in an u...
Text Solution
|
An iceberg is floating partly immersed in sea water, the density of se...
Text Solution
|
A boat having a length of 3 m and breadth of 2 m is floating on a lake...
Text Solution
|
A body of density rho is dropped from reat from a height h into a lake...
Text Solution
|
A vessel contains oil (density =0.8gm//cm^3) over mercury (density =13...
Text Solution
|
A sphere of solid material of relative density 9 has a concentric sphe...
Text Solution
|
A pieceo of ice is floating in water . Find the fraction of volume of ...
Text Solution
|
In car lift compressed air exerts a force F1 on a small piston having ...
Text Solution
|
A cone full of water, is placed on its side on a horizontal table, the...
Text Solution
|
A narrow tube completely filled with a liquid is lying on a series of ...
Text Solution
|
The total weight of a piece of wood is 6 kg in the floating state in w...
Text Solution
|
Water is flowing continuously from a tap having an internal diameter 8...
Text Solution
|
The cylinderical tube of a spray pump has radius R, One end of which h...
Text Solution
|
A fluid is in streamline flow across a horizontal pipe of variable are...
Text Solution
|
A cylindrical vessel contains a liquid of density rho up to height h. ...
Text Solution
|
Oil is filled in a cylindrical container up to height 4m. A small hole...
Text Solution
|