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If it takes 5 minutes to fill a 15 litre...

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

A

`11,000`

B

`550`

C

`1100`

D

`5500`

Text Solution

Verified by Experts

The correct Answer is:
D
`(dm)/(dt)=rhoAV`
`15/(5xx60)=10^(3)xxpi(1/(sqrt(pi)))^(2)xx10^(-4)V`
`V=0.05m//s`
`R_(e)=(rhoVD)/(eta)`
`=(10^(3)xx0.5xx2/(sqrt(pi))10^(-2))/(10^(-3))`
`=5500`
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