A siphon has a uniform circular base of diameter `8//sqrt(pi) cm` with its crest `A, 1.8 m` above the water level vessel `B` is of large cross section (`g= 10 m//s^(2)` and atmospheric pressure `P_(0) =1 0^(5) N//m^(2))`.

Options

A. A.velocity of flow through pipe is `6sqrt(2)m//s`
B. B.Discharge rate of flow through pipe is `96sqrt(2)xx10^(-4)m^(3)//s`
C. C.Velocity of flow through pipe is `6m//s`
D. D. Pressure of `A` is `0.46xx10^(-5)N//m^(2)`

Answer

A, B, D

Explanation

Applying Beroulli's equuation at `C` and `D` we have

`P_(0)+0+rhog(3.6)=P_(0)+1/2rhov^(2)+0`
`implies v=6sqrt(2)m//s`
Volume blown per unit time
`=av=pir^(2)v=96sqrt(2)xx10^(-4)m^(3)//s`
Similarly at `A` and `C`
`P_(A)+1/2rhov^(2)+rhog(3.6+1.8)=P_(0) +1/2rhov^(2)+0`
`implies P_(A)=0.46xx10^(5)N//m^(2)`