Water from a pipe is coming at a rate of `100` litres per minute. If the radius of the pipe is `5cm`, the Reynolds number for the flow is of the order of : (density of water `=1000kg//m^(3)`, coefficient of viscosity of water `=1mPa s`)

Options

A. ` 10 ^ 2 `
B. `10 ^3 `
C. ` 10 ^6 `
D. `10 ^4 `

Answer

D

Explanation

`R=(rhoVd)/(n),Q=100 1//min=0.1m^(3)//min=(0.1)/(60)m^(3)//s`
`V=(Q)/(A)=(0.1)/(60)xx(1)/(pixx(0.05)^(2))RightarrowR=10^(3)xx(0.1)/((60xxpixx(0.05)^(2))/(10^(-3)))xx0.1=(10^4)/(60xxpixx25xx10^(-4))approx2xx10^(4)`