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)`
Text Solution
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Terminal velocity `v=(2r^(2))/9 ((rho-sigma)g)/eta`…….i But we know `v=s/t` `:. s/t=2/9(r^(2)(rho-sigma)g)/etaimpliesr^(2)(9s)/(2t) eta/((rho-sigma)g)` Given `s=2xx10^(-2)m, t=1h=3600s` `:. Eta=1xx10^(-2)` poise `=1xx10^(-3)kgm^(-1)s^(-1)` Substituting given values we get `r^(2)=9/2xx(2xx10^(-2))/3600xx(1xx10^(-3))/((1.8xx10^(3)-1xx10^(3))xx10)=9/36xx1/810^(-10)` `=1/32xx10^(-10)` `:. r=sqrt(100/32)xx10^(-6)m=1.77xx10^(-6)m` Diameter `D=2r=2xx1.77mum=3.54mum`
A powder comprising particle of various sizes is stirred up in a vessel filled to a height of 10 cm with water. Assuming the paticle to be spherical, find the size of the largest particle that will remain in suspension after 1h (density of powder =4g//cm^(3) , viscosity of water =0.01 poise).
The density of silver is 10.8xx10^(3)" kgm."^(3) and the density of water is 10^(3)"kgm"^(-3) . What is the relative density of Ag ?
Estimate the speed of verticaly falingn raindriops from the following data. Radius of the drops=0.02cm, viscosity of ir =1.8xx10^-4 poise, g=9.9xx10ms^2 and density of water =1000 kg m^-3 .
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)
A piece of alloy of gold and silver weighs 2kg in air and 1.86 kg in water. What is the mass of silver? Density of gold =19.3xx10^(3) "kgm"^(-3) . Density of silver =10.5 xx 10^(30 "kg" m^(-3).
A copper cube of mass 0.50kg is weighed in water. The mass comes out to be 0.40 kg. Is the cube hollower solid ? Given density of copper =8.96 xx 10^(3)"kgm"^(-3) and density of water =10^(3) "kgm"^(-3).
The dissoctiation of water of 25^(@)C is 1.9 xx 10^(-7)% and the density of water is 1g//cm^(3) the ionisation constant of water is
At what depth in fresh water the pressure on a diver is one atmosphere ? [Density of water = 10^(3)kg m^(-3), Normal pressure =10^(5)Pa, g =10 ms ^(-2)]
What is the density of ocean water at a depth, where the pressure is 80.0 atm, given that its density at the surface is 1.03 xx 10^(3) kg m^(-3) ? Compressibilty of water = 45.8 xx 10^(-11) Pa^(-1) . Given 1 atm. = 1.013 xx 10^(5) Pa .
CENGAGE PHYSICS-PROPERTIES OF SOLIDS AND FLUIDS-INTEGER_TYPE
