Calculate the elastic potential energy per unit volume of water at a depth of `1km`. Compressibility (`alpha`) of water `=5xx10^(-10)` SI units. Density of water `=10^(3)kg//m^(3)`
Text Solution
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Energy per unit volume `=(1/2)"Stress"xx"Strain" =(1/2)"Sress"xx"Stress"/K` `=(1/2)beta("stress")^(2)=(1/2)beta(hrhog)^(2)` `(1/2)x(5xx10^(-10))xx(1000xx1000xx9.8)^(2)` `=2.4xx10^(4)J//m^(3)`
Calculate the kinetic energy per unit volume of a gas at a pressure of 10mm of Hg . (Density of Hg=13.6xx10^(3)kgm^(-3) and g=9.8ms^(-2) )
Spherical particles of pollen are shaken up in water and allowed to settle. The depth of water is 2xx10^(-2)m . What is the diameter of the largest particles remaining in suspension one hour later? Density of pollen =1.8xx10^(3)kgm^(-3) viscosity of water =1xx10^(-2) poise and density of water =1xx10^(-5)kgm^(-3)
Calculate the critical velocity of water through a narrow tube of radius 0.3 mm. Coefficient of viscosity of water is 0.0011 SI units and density of water 1000"kg m"^(-3) . Take Reynolds number as 1000.
Find the volume density of the elastic deformation energy in fresh water at a depth of h = 1 m. (Bulk modulus of water = 2 xx 10^(9) N//m^(2) )
The depth of a lake at which density of water is 2% greater than on surface. [Compressibility of water = 50xx10^(-6) /atm , 1 atm = 10^5N//m^2 ]
What will be the decrease in volume of 100 cm^(3) of water under pressure of 100 atm if the compressibility of water is 4xx10^(-5) per unit atmosphere pressure ?
Calculate the total pressure at the bottom of a lake of depth 5.1 m (atm pressure =10^(5) P), density of water =10^(3)kg//m^(3),g=10m//s^(2)
CENGAGE PHYSICS-PROPERTIES OF SOLIDS AND FLUIDS-INTEGER_TYPE
