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Water flows at a speed of 6 cms^-1 throu...

Water flows at a speed of 6 `cms^-1` through a tube of radius 1 cm. coefficient of viscosity of water at room temperature is 0.01 poise. Calculate the Reynolds number. Is it a steady flow.

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The correct Answer is:
A, B
`v=6cm/s=6x10^-2m/sec`
`r=1cm=10^-2m`
`D=2xx10^-2m`
`eta=0.01poise `
`v=(Rn)/(pD)`
`rarr R=(vrhoD)/eta`
`=(6xx10^-3)xx10^3xx((2xx10^-2))/(10^-2)`
`=120`
`[because rho_(water)=10^-3kg/m^3]`
`If 0ltRlt2000` then it will be steady flow. Here `0lt120lt2000`
So, it is a steady flow.
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