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The volume of brick is 2.197 litres. The submerged brick is balanced by a 2.54 kg mass on the beam scale. The weight of the brick is -

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Important Questions on Mechanical Properties of Fluids

MEDIUM
A balloon carries a total load of 185 kg at normal pressure and temperature of 27°C. What load will the balloon carry on rising to a height at which the barometric pressure is 45 cm of Hg and the temperature is -7°C. Assuming the volume constant?
HARD
A very large block of ice of the size of a volleyball court and of uniform thickness of 8 m 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
EASY
Lactometres (used to determine the purity of a sample of milk) and hydrometers (used to determine the density of liquids) are based on the _____ principle.
EASY
A block floats with its fraction ηE inside water when immersed in a beaker containing water and kept on the earth. The beaker along with the block is shifted to the surface of the moon. If ηM is the fraction of the block now immersed in water, which of the following relations is correct? 
EASY
An aluminium sphere is dipped into water. Which of the following is true?
HARD
Drop of liquid of density ρ is floating half immersed in a liquid of density ρ0. If surface tension of liquid is s, the radius of drop is
HARD
Two glasses with identical volumes are filled with water to the half-way mark and are kept side by side. Two solid cubes made of the same metal are now dropped into the two glasses and both of them sink in the water. The first glass is completely filled now. The second glass is still 716th empty. The ratio of the surface areas of the cubes dropped into the first and the second glass is
MEDIUM

A block of wood having a mass 15 kg and dimensions 40cm × 30cm × 20 cm is kept on a table-top, It is made to lie on the table-top in three ways with its sides of dimensions

(a) 40 cm × 30 cm

(b) 30 cm × 20 cm

(c) 20 cm × 40 cm
 

The pressure exerted by the wooden block on the table-top will be

MEDIUM
An ice-berg of density 900 kg m-3 is floating in water of density 1000 kg m-3. The percentage of volume of ice-berg outside the water is 
EASY
A block of wood floats in water with (4/5)th of its volume submerged. If the same block just floats in a liquid, the density of liquid in kg m-3 is
EASY
Luggage porters place a round piece of cloth on their head when they have to carry heavy loads. By doing this, the area of contact between the load and head :
MEDIUM
A submarine experiences a pressure of 5.05×106 Pa at a depth of d1 in a sea. When it goes further to a depth of  d2 , it experiences a pressure of  8.08×106 Pa . Then d2-d1 is approximately (density of water =103 kg/m3 and acceleration due to gravity  =10 ms-2 ):
EASY
The weight of the wooden block is W. The apparent weight of the body on floating water is
MEDIUM

A block of wood floats in water with (4/5)th of its volume submerged. If the same block just floats in a liquid, then find the density of this liquid. (Given density of water =1000 kg m-3 )

EASY
A metal sphere is dipped in water. If at 0 °C & 4 °C  the buoyancies in water are β1 and β2 respectively, then :
EASY
Two metal pieces when immersed in liquid experience equal upthrust on them, then :
EASY
Iceberg floats in water with part of it submerged. What is the fraction of the volume of iceberg submerged if the density of ice is ρi=0.917 g cm-3?
HARD
Consider a solid sphere of radius R and mass density ρr=ρ01-r2R2,0<rR. The minimum density of a liquid in which it will float is:
HARD
A solid sphere of radius R and density ρ is attached to one end of a mass-less spring of force constant k. The other end of the spring is connected to another solid sphere of radius R and density 3 ρ The complete arrangement is placed in a liquid of density 2ρ and is allowed to reach equilibrium. The correct statement(s) is (are)
HARD

A vessel filled with water is kept on a weighing pan and the scale is adjusted to zero. A block of mass M and density ρ is suspended by a massless spring of spring constant k. This block is submerged inside into the water in the vessel. What is the reading of the scale?

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