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) = 10^(5) N//m^(2))`.

Options

A. velocity of flow through pipe is `6sqrt(2)m//s`
B. Discharge rate of flow through pipe is `96sqrt(2)xx10^(-4)m^(3)//s`
C. Velocity of flow through pipe is `6m//s`
D. Pressure of A is `0.46xx1^(-5)N//m^(2)`

Answer

A, B, D

Explanation

Applying bernoulli's equation at C and D, we have
`P_(0)+0+rhog(3.6)=P_(0)+(1)/(2)rhov^(2)+0impliesv=6sqrt(2)m//s`
Volume blown per unit time `=av=pir^(2)v=96sqrt(2)`
Similarly at A and C,
`P_(A)+(1)/(2)rhov^(2) + rhog(3.6+1.8)=P_(0)+(1)/(2)rhov^(2)+0`
`P_(A)=0.47 xx 10^(5)N//m^(2)`