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A cubical block of ice floating in water has to support a 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.

Important Questions on Fluid Mechanics

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JEE Main
IMPORTANT
CONCEPTS OF PHYSICS [VOLUME 1]>Chapter 13 - Fluid Mechanics>EXERCISES>Q 14

A cube of ice floats partly in water and partly in K.oil. Find the ratio of the volume of ice immersed in water to that in K.oil. The specific gravity of K.oil is 0.8 and that of ice is 0.9.

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JEE Main
IMPORTANT
CONCEPTS OF PHYSICS [VOLUME 1]>Chapter 13 - Fluid Mechanics>EXERCISES>Q 15
A cubical box is to be constructed with iron sheets 1 mm in thickness. What can be the minimum value of the external edge so that the cube does not sink in water? Density of iron=8000 kg m-3 and density of water =1000 kg m-3.
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JEE Main
IMPORTANT
CONCEPTS OF PHYSICS [VOLUME 1]>Chapter 13 - Fluid Mechanics>EXERCISES>Q 16
A cubical block of wood weighing 200 g, has a lead piece fastened underneath. Find the mass of the lead piece which will just allow the block to float in water. Specific gravity of wood is 0.8 and that of lead is 11.3.
MEDIUM
JEE Main
IMPORTANT
CONCEPTS OF PHYSICS [VOLUME 1]>Chapter 13 - Fluid Mechanics>EXERCISES>Q 17
A cubical block of wood weighing 200 g has a lead piece fastened on the top surface of the block. Find the mass of the lead piece which will just allow the block to float in water. The specific gravity of wood is 0.8 and that of lead is11.3. The block is to float with its upper surface just dipping into water.
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JEE Main
IMPORTANT
CONCEPTS OF PHYSICS [VOLUME 1]>Chapter 13 - Fluid Mechanics>EXERCISES>Q 18
A cubical metal block of edge 12 cm floats in mercury with one fifth of the height inside the mercury. Water is poured till the surface of the block is just immersed in it. Find the height of the water column to be poured. Specific gravity of mercury =13.6.
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JEE Main
IMPORTANT
CONCEPTS OF PHYSICS [VOLUME 1]>Chapter 13 - Fluid Mechanics>EXERCISES>Q 19
A hollow spherical body of inner and outer radii 6 cm and 8 cm respectively floats half-submerged in water. The density of the material of the sphere is 8n5 kg m-3. Then find the value of n.
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JEE Main
IMPORTANT
CONCEPTS OF PHYSICS [VOLUME 1]>Chapter 13 - Fluid Mechanics>EXERCISES>Q 20
A solid sphere of radius 5 cm floats in water. If a maximum load of 0.1 kg can be put on it without wetting the load, find the specific gravity of the material of the sphere.
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JEE Main
IMPORTANT
CONCEPTS OF PHYSICS [VOLUME 1]>Chapter 13 - Fluid Mechanics>EXERCISES>Q 21
Find the ratio of the weights, as measured by a spring balance, of a 1 kg block of iron and a 1 kg block of wood. The density of iron=7800 kg m-3, density of wood =800 kg m-3 and density of air =1.293 kg m-3.