If it takes 5 minutes to fill a 15 litre bucket from a water tap diameter `(2)/(sqrt(pi))` cm then the raynolds number for the flow is (density of water `=10^(3)kg//m^(3)` and viscosity of water `=10^(-3)Pa`.s) close to

Options

A. 100
B. 11000
C. 550
D. 5500

Answer

D

Explanation

Given: Diameter of water tap `= (2)/(sqrtpi) cm`
`therefore` Radius, `r = (1)/(sqrtpi) xx 10 ^(-2) xx 10 ^(-4) V 2 implies V = 0.05 m//s`
Reynold.s number, `R _(e) = (rho V r )/( n)`
` = (10 ^(3) xx 0.5 xx (2)/(sqrt pi) 10 ^(-2))/( 10 ^(-3))~~5500`